Mathematics High School

What is the inverse of f(x)=x^4 + 7 for x>0 where function g is the inverse of function f​

What Is The Inverse Of F(x)=x^4 + 7 For X>0 Where Function G Is The Inverse Of Function F

Answers

Answer 1

The first answer

cbjsabcakvscds

What Is The Inverse Of F(x)=x^4 + 7 For X>0 Where Function G Is The Inverse Of Function F
Answer 2

The inverse function of the function f(x) will be [tex]\rm g(x) = \sqrt[4]{x - 7}, x \geq 7[/tex]. Then the correct option is A.

What is the inverse function?

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by the swapping of x with y and y with x.

The function is given below.

f(x) = x⁴ + 7

The inverse function of f(x) will be

x = [g(x)]⁴ + 7

[g(x)]⁴ = x - 7

[tex]\rm g(x) = \sqrt[4]{x - 7}[/tex]

The function is valid for x ≥ 7.

The inverse function of the function f(x) will be [tex]\rm g(x) = \sqrt[4]{x - 7}, x \geq 7[/tex]. Then the correct option is A.

More about the inverse function is given below.

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Related Questions

Which city is closest to sea level?

Answers

Answer:

City A

Step-by-step explanation:

I mean B C and D are all about 0.5 or -0.5 while B is 1 3/4

So...

A is the closest because its legit 0.25 meters away while others are 0.5 meters away.

And 0.5-0.25 shows that 0.25 is less than 0.5.

it it’s city a i’m pretty sure

I need somebody’s help

Answers

Answer:

x= 40

so

3x-5= 115

2x-15= 65

Step-by-step explanation:

C is the correct answer. I see that you put a mark on that choice so you are right if you thought that. I hope this helps!

Answer:

C

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary, thus

3x - 5 + 2x - 15 = 180, that is

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Thus

3x - 5 = 3(40) - 5 = 120 - 5 = 115°

2x - 15 = 2(40) - 15 = 80 - 15 = 65°

Which expression has a positive value?
O-4+(-5)(-6)+(-3)
810-(2)(-2)]
3(-64-8) + 25
-2(-5) (-3) + 10

Answers

Answer:its c

Step-by-step explanation:

Took the test

Answer:

C

Step-by-step explanation:

Select the three expressions that are equivalent to 13+13+13+13+13+13+13.

Answers

Answer:

13 to the seventh power is one

Step-by-step explanation:

13⁷

13*7

13+13+13+13+13+26

f(x) = x2+9
g(x) = X-9
Find f(x)*g(x).

Answers

Answer:

f(x)g(x) = x³ - 9x² + 9x - 81

General Formulas and Concepts:

Distributions - Expanding with FOIL (First, Outside, Inside, Last)

Step-by-step explanation:

Step 1: Define

f(x) = x² + 9

g(x) = x - 9

Find f(x) · g(x)

Step 2: Find

Set up expression:                    f(x)g(x) = (x² + 9)(x - 9)Expand (FOIL):                           f(x)g(x) = x³ - 9x² + 9x - 81

What is 5x+4= 14 Solve for x

Answers

Answer:

2

Step-by-step explanation:

5 x 2=10+4=14

x=2

5x+4=14
5x=14-4
5x=10
X=2

On January 3rd, the Earth is 147,500,000 kilometers away from the Sun. On July 4th, the Earth is 152,500,000 kilometers away from the Sun. The Sun has a radius of about 865,000 kilometers.

Could the Earth's orbit be a circle with some point in the Sun as its center? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

It could not because in order for it to be a circle the number of kilometers would have to be constant, however in earth's orbit it is not constant, therefore it is an oval, not a circle.

Write 0.31 Repeating
as a fraction in simplest form.

Answers

Answer:

The answer is 31/100

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are  2  numbers to the right of the decimal point, place the decimal number over  10 2 ( 100 ) . Next, add the whole number to the left of the decimal.

Ella purchased a 6-pack of cola for $3.84. What is the cost of 1 can of cola?

Answers

Answer:

$0.64

Step-by-step explanation:

6 cans of soda = $3.84

3.84 / 6 = 0.64

1 can of soda = $0.64

Answer:

$0.64

Step-by-step explanation:

Between what two integers is the square root of 56.25?

Answers

Answer:

7 and 8

Step-by-step explanation:

Calculate the square root and you get 7.5 The number 7.5 is in-between the numbers 7 and 8. Hope this helps

Identify the property used in the first four steps to solve the equation (FAST ANSWERS PLS)
4(x-7)=2x-6
Step 1: 4x-28=2x-6
Step 2: 2x-28=-6
Step 3: 2x=22
Step 4: x=11

Answers

9514 1404 393

Answer:

distributive propertysubtraction propertyaddition propertydivision property

Step-by-step explanation:

1. The parentheses are eliminated. The distributive property lets you do that.

2. 2x is subtracted from both sides. The subtraction property of equality lets you do that.

3. 28 is added to both sides. The addition property of equality lets you do that.

4. Both sides are divided by 2. The division property of equality lets you do that.

1/4+1/2=15/60+30/60=?

Answers

Answer:

[tex]\frac{3}{4} =\frac{3}{4}[/tex] Which means its true

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:  True

Step-by-step explanation:

Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?


Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2


A.) Gloria’s time was 0.5 minutes faster.
B.) Richard’s time was 0.5 minutes faster.
C.) Gloria’s time was 2.5 minutes faster.
D.) Richard’s time was 2.5 minutes faster.

Answers

it is c js because i did it

Answer:

the correct answer is C

Step-by-step explanation:

Order the numbers from least to greatest.


2.1,−610,−94,−0.75, 53

Answers

-610 -94 -0.75 2.1 53
Answer my latest question please

Help me please picture is attached

Answers

girl i can barley see that

The sides of a square are 3 cm long. One vertex of the
square is at (2.0) on a square coordinate grid marked in
centimeter units. Which of the following points could
also be a vertex of the square?
F. (-4, 0)
G. (0.1)
H. 1.-1)
J. (4. 1)
K. (5.0)

Answers

answer
K. 5.0
explanation
move square 3cm over

AGIAN HELP!!!!Identify the point on the vertical axis (y-axis) and state the real-world meaning of that point.

Answers

Answer:

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

Step-by-step explanation:

From the graph

The y-axis represents the height above the sea level in feetThe x-axis represents the hours hiking

→ The point on the vertical axis (y-axis) represents

The initial height above the sea levelThis point is the starting point of hikingIt called the y-intercept (0, 2000)

→ Which means it represents their height at 0 hour

→ The real-world meaning of that point is:

They are 2000 feet above the sea level when they decided to start hiking

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

Jezebel is planning a party at the skating rink. The cost for each person attending is $3.50 for skate rental and $5.00 for food. Jezebel cannot spend more than $300. Which inequality could be used to find the greatest number of people, p, that can attend?

Answers

Answer:

The inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.

Step-by-step explanation:

From the information provided, you can write an inequality where total cost for people attending at the party should be less than or equal to $300:

3.50p+5.00p≤300

8.50p≤300

Now, you can solve for p:

p≤300/8.50

p≤35

According to this, the answer is that the inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.

Which of the following expressions simplifies to −abcd, where a, b, c and d are real numbers?

A. (−a)∙b∙(−c)∙d
B. (−a)∙b∙(−c)∙(−d)
C. a∙(−b)∙(−c)∙d
D. (−a)∙(−b)∙(−c)∙(−d)

Answers

Answer:

Step-by-step explanation:

J

Answer:

D

Step-by-step explanation:

just took this test

How far did they travel per hour

Answers

Answer:

37.5 miles per hour

Step-by-step explanation:

d= rt; d is distance (225 miles), r is rate, and t is time (6 hours)

225= 6r

225/6 = 6r/6

37.5= r

37.5 miles per hour

Hope this helps!

the sequence -9,-15,-21,-27 is a Arithmetic sequence or
Geometric sequence

The sequence 48,24,12,6 is a
Arithmetic sequence or
Geometric sequence

Answers

Answer:

1st:Arthmetic Sequence ,2nd:Geometric Sequence

Step-by-step explanation:

-9,-15,-21,-27

+6

48,24,12,6

half of 2 or divided by 2


ASAP

Level 3
The volume of a rectangular pool is the product of the pool's area and depth. Suppose a pool that is 12 feet deep has
a volume of 10368 ft? What is the area of the pool?
The area of the pool is
square feet.
The area of the pool is the product of the pool's length and width. Suppose the pool's length is 24 ft. What is the
pool's width?
The pool's width is
feet

Answers

Answer:

The area of the pool is [tex]864\ ft^2[/tex]

The pool's width is 36 ft

Step-by-step explanation:

Volume and Area

The volume of a rectangular pool is the product of the pool's area and depth. We are given the pool's depth d=12 feet and the pool's volume V=10368 [tex]ft^3[/tex]

Since:

[tex]V= d*A[/tex]

Solving for A:

[tex]\displaystyle A=\frac{V}{d}=\frac{10368}{12}=864\ ft^2[/tex]

The area of the pool is [tex]864\ ft^2[/tex]

Now we calculate the pool's width, knowing the area is the product of the pool's length and width. Knowing the length is L=24 ft:

[tex]A=L*W[/tex]

Solve for W:

[tex]\displaystyle W=\frac{A}{L}=\frac{864}{24}=36[/tex]

The pool's width is 36 ft

PLEASE ANSWER THIS ASAP !!!

Answers

No.

In the relation , y is not a function of x, because for the second input of x, there is two outputs of y. Each x-value can only have one corresponding y-value

Carolyn and her basketball team are traveling form Oak City to the beach for the championships. The distance to the beach is about 1,344 miles. The team plans to drive 50 miles per hour. About how many hours will it take for Carolyn and her team to get to the beach?

Answers

Answer:

It will take 26.88hours to get to the beach

Step-by-step explanation:

From the problem statement, we are asked to find the time required to reach the beach.

given data

distance s=1344 miles

speed v= 50 mph

time t=?

we know that the relationship between speed, distance and time is given as

velocity=distance/time

substituting our given data into the expression we have

50=1344/t

making t subject of the formula we have

t=1344/50

t= 26.88 hours

Therefore it will take 26.88hours to get to the beach

What congruency theorem would this be: SSS, SAS or ASA and why?

Answers

This one would be SAS
EXPLANATION: it has two sides listed and one angle

A and B are supplementary angles. If m A=(x-18)° and mB =(x-20),
find the measure of B

Answers

Answer:

89 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees, so we can add up A and B and make it equal to 180.

(x-18)+(x-20)=180

2x-38=180

2x=218

x=109

then, we plug in 109 for x in the mB equation.

mB=x-20

mB=109-20

mB=89 degrees

therefore, the measure of B is 89 degrees.

Answer:

B = 89

Step-by-step explanation:

Supplementary angles: A + B = 180

Simplify: x-18 +x -20 = 180

2x-38 = 180

2x = 218

x= 109

B = x-20

B = 89

write 843 in scientific notation.​

Answers

a x 10b

Follow the steps below to see how 843 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 843New Number: 8.43Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.43Decimal Count:12

There are 2 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.43

b = 2

Now the whole thing:

8.43 x 102

Step 4

Check your work:

102 = 100 x 8.43 = 843

More Scientific Notation Examples

8418428448458.41 x 1028.42 x 1028.44 x 1028.45 x 102

What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
a.
-8, -13, -18
c.
2, 7, 12
b.
3, 8, 13
d.
0, 5, 10

Answers

Answer:

C

Step-by-step explanation:

Its adds 5 each time

The next three terms of Sequence is 2, 7, 12.

What is Sequence?

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.

Given:

-18, -13, -8, -3,…

Now, the common difference = -13 - (-18)= -13 + 18 = 5

So, the formula for nth term will be

[tex]a_n[/tex] = -18 + 5(n-1)

Then,  n= 5th term

[tex]a_n[/tex] = -18 + 5(5-1)

[tex]a_n[/tex] = -18 + 5(4)

[tex]a_n[/tex] = -18 + 20

[tex]a_n[/tex] = 2

and, n= 6th term

[tex]a_n[/tex] = -18 + 5(6-1)

[tex]a_n[/tex] = -18 + 5(5)

[tex]a_n[/tex] = -18 + 25

[tex]a_n[/tex] = 7

and, n= 7th term

[tex]a_n[/tex] = -18 + 5(7-1)

[tex]a_n[/tex] = -18 + 5(6)

[tex]a_n[/tex] = -18 + 30

[tex]a_n[/tex] = 12

Hence, the next three terms are 2, 7, 12.

Learn more about Sequence here:

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Ojos del Salado is the highest mountain in Chile, with a peak at about 6900 meters above sea level. The Atacama Trench, just off the coast of Peru and Chile, is about 8100 meters below sea level (at its lowest point).

a. What is the difference in elevations between Mount Ojos del Salado and the Atacama Trench?

b. Is the elevation halfway between the peak of Mount Ojos del Salado and the Atacama Trench above sea level or below sea level?

Explain without calculating the exact value. c. What elevation is halfway between the peak of Mount Ojos del Salado and the Atacama Trench?

Answers

A) add the two elevations together:

6900 + 8100 = 15,000 meters.

B) Divide the total distance by 2:

15,000 / 2 = 7,500 meters.

Because the distance to the halfway point is larger than the elevation of Ojos del Salado, the elevation would be below seal level.

C Add the halfway point from part B to the lowest elevation:

-8100 + 7500 = -600 meters

Type the next step in the pattern. 4, 12, 6, 18, 9,

Answers

Answer:

Something does not make sense...

Step-by-step explanation:

The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.

Not a Geometric or Arithmetic Sequence

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