How would the domain and range of the function

Y = (1/4)x - 6

be determined? Explain. ​

Answers

Answer 1

Answer:

Domain and range both [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.

The inverse of the function can be found as such:

[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].

Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.

So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]


Related Questions

Regroup to express the number in a different way.

73,250 =7 ten thousands + 3 thousands + 2 hundreds + 5 tens

73,250 =7 ten thousands + 3 thousands + 1 hundred + * tens

Answers

Answer:

73,205

Step-by-step explanation:

Please help will give brainliest

Answers

Answer:

A) 18cm^2

Step-by-step explanation:

(3 x 12)/2=36/2=18

Answer:

A

Step-by-step explanation:

12x3=36/2=18

a class sold tickets to their school play. each of the 23 students in the class sold 4 tickets. the cost of each ticket was 7 $ how much money did the class earn by selling tickets to the play

Answers

Answer:

$234

Step-by-step explanation:

because they did.....

Answer:

$644

Step-by-step explanation:

1: 23 students times 4 tickets sold each student is 92 tickets sold in total

2: 92 tickets times 7$ per ticket is $644

Hope this helps :P

find the sum of 3x,(1-6x),4x and x​

Answers

Answer:

2x+1

Step-by-step explanation:

S=3x+(1-6x)+4x+x​=3x-6x+4x+x+1=2x+1

Where should 3V49 be on the number line?

Answers

Answer:

Step-by-step explanation:

Note that 49 is a perfect square:  7² = 49.

Therefore, 3√49 = 3(7) = 21.

Note:  Brainly makes accessible to you a set of special math characters.  Have a friend show you how to find this menu and select the " √ " operator.

Paul has 30 postcards. He has
4 times as many large postcards
as small postcards. How many
small postcards does he have?
How many large postcards?

Answers

Answer:

120

Step-by-step explanation:

is the right answer I think.

Answer:

Paul has 6 small post cards and 14 big postcards

A particle travel 270km in 30 hours. Find speed of particle in km/hr

Answers

Answer: 9 km/hr

Step-by-step explanation:

270/30 or 270 ÷ 30

km/hr

Answer: 9

Step-by-step explanation:

Please help Find the surface area of the pyramid. The side lengths of the base are equal. I WILL MARK YOU BRAINLYIST!!!

Answers

Answer:

The answer is 207.227

Step-by-step explanation:

Hope this help


can someone explain this?

Answers

Here is the formula

V= pi x radius (squared) x height

3.14 x 5 x 7 = 549.5

Each big square below represents one whole.
What percent is represented by the shaded area?

Answers

Answer:

173%

Step-by-step explanation:

I think?

a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?

Answers

2,688 muffins
192 (trays) x 14 (muffins in each tray) = 2688 (total muffins)

Which expression is equivalent to 7x(yz - 7 - 2y)

Answers

Answer:

-7xy - 49x

Step-by-step explanatio

Answer:

.................

help please. If (a,b) is the center of this circle, fine a+b​

Answers

Answer:

Given

(X+1)²+(y+4)² =25

or, {x-(-1)}² +{y-(-4)}² =5²

comparing with (x-h)²+(y-k)² = r²

h= -1

k= -4

center of circle (h,k)= (-1,-4)

by question..

(a,b) is centre of circle so...

(a,b) =(-1,-4)

i.e

a=-1

b=-4

now;

a+b= -1+(-4)

= -1-4

= -5

HELP ASAP WILL MARK BRAINLIEST

Answers

Answer: 11

Step-by-step explanation:

Answer: 11

Hope it helps

Determine whether the point (2, 0) is a solution to the system of equations. Explain
your reasoning in complete sentences.

Answers

Answer:

(2,0) IS NOT a solution to the system of equations because at that point the lines do not intersect. At (2,0) there's not even a line

Step-by-step explanation:

A factory manufactures 9 x 10^5 packs of gum each month. They send these out to 16 different distribution centers. If each distribution center gets the same number of packs, how many are sent to each center?

Answers

Answer:

The answer would be A.

Step-by-step explanation:

You would take 9 x 10^5 = 900000 and divide that by 16 to get 56250.

After that, you move the decimal over by 4 to make it a number with only one number above zero in front of the decimal to make 5.625 (negate the 0 bc it does not mean anything after you moved the decimal over)

Since you moved it over by four places, the exponent next to the 10 will be 4, making the final answer 5.625 x 10^4

Good luck and hope this helps!!

Please help! you'll get Brainliest if you do!

Answers

Answer:

b

Step-by-step explanation:

JUST HALP PWES PIC DOWN BELOW COJNHDHQ

Answers

Answer:

Quadrant 4 or (IV)

Step-by-step explanation:

c is in quadrant 4

Answer:

D

Step-by-step explanation:

John is placing cement tiles for a patio in a rectangle surrounding a
rectangular fire pit. The fire pit has a width of x ft and a length that is 4
times the width. The entire patio is 9 ft wider and 13 ft longer than the fire
pit. What is the area that he will need to buy tiles for?

Answers

Answer:

31x + 55 sq. ft.

Step-by-step explanation:

Width of Fire Pit = x ft.  Length of Fire Pit = 4x ft.

Width of Patio = x + 5 ft. Length of Patio = 4x + 11 ft. Area of Fire pit = 4x * x = 4x² sq, ft.

Total Area of Rectangular Patio (including Fire pit)  = (4x + 11)(x+5)

= 4x² + 31x + 55 sq. ft.

Area for which tiling is done = Area of Rectangular patio - Area of fire pit

= 4x² + 31x + 55 - 4x²

= 31x + 55 sq. ft.

Fantasy 5 lottery game is picking 5 numbers from 1-41. If you match them all you win the jackpot. What is the probability you win the jackpot?

Answers

Answer:

1 / 89927760

Step-by-step explanation:

Recall :

Probability = required outcome / Total possible outcomes

To pick five number for a lottery from the range (1 - 41) ;

For this scenario, selection will be done without replacement

To win lottery , all 5 selections must be matched

P(1st pick) = 1 / 41

P(2nd pick) = 1 /40

P(3rd pick) = 1/39

P(4th pick) = 1/38

P(5th pick) = 1/37

(1/41 * 1/40 * 1/39 * 1/38 * 1/37) = 1 / 89927760

Hence, Probability of winning lottery = 1 / 89927760

2x - 5 + ¾ (4x - 8) =19

Answers

It would most likely equal to 6. Hope this helped.

Step-by-step explanation:

-8x^3 - x^4 + 1/9 + x

Answers

PLEASE GIVE ME BRAINIEST IF I HELPED YOU!!! THANKS!! HAVE A GOOD DAY/NIGHT!!!

also......

X=5

What is the distance between the points (0,0) and (6,8)?

Answers

the distance between the 2 points is 10

can somebody help quick

Answers

Answer:

1.5x + 14

Step-by-step explanation:

Answer:

3x+28

Step-by-step explanation:

Point B: (14,4)Point A: (5,4)What is the difference between the x-coordinate of point A and the x-coordinate of point B?

Answers

Answer:

9

Step-by-step explanation:

14.4

-5.4

-------

9.0

The difference between the x-coordinate of point A and the x-coordinate of point B is -9

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the point B: (14,4) and Point A: (5,4).

The x coordinate of B is 14 while that of A is 5.

The difference between the x-coordinate of point A and the x-coordinate of point B = 5 - 14 = -9

Find out more on equation at: https://brainly.com/question/2972832

If you share 7 apples equally with 3 people then there are 2 1/3. Frost complete the sentence. Then , briefly explain what the whole number 2, the denominator 3, and the numerator 1 mean in this problem

Answers

Answer:

The whole number 2 is the number of whole apples each person gets.  The numerator 1 is the number of pieces of the remaining apple each person gets; the denominator 3 is the number of pieces the remaining apple is cut into.

The circumference of a circle is about 50 centimeters (cm). Which is closest to the length of its radius? You may use 3.14 for
Α.4 cm
B. 8 cm
C.16 cm
D.32 cm

Answers

Answer:

8 cm

Step-by-step explanation:

The formula of circumference is c= πd------(1)

where C = circumference, π = 3.14 and d = diameter

as we know that diameter is equal to d= 2r

put the diameter formula in eq(1)

we get c= π2r-------(2)

from eq (2) separate r means radius

hence, r= c/(π2)------(3)

put the values in eq(3)

and radius is equal to 8 cm.

Will give crown help

Answers

Answer:

First one is linear

2. Scattered

3. Leniar

4. Porabola

Step-by-step explanation:

Help!! Solve 1 1/4 + 5 5/6

Answers

Answer:

7 2/24

Step-by-step explanation:

We can start by making the denominators the same (the bottom number)

1 1/4+5 5/6

1 6/24+ 5 20/24=7 2/24

Answer:

so what you would want to do is get your fraction into improper fractions and to do that you multiply the whole number by the denominator and add it to your numerator, once you do that you get 5/4, and 35/6, now we want to get common denominators, so we multiply 5/4, by 6/6, and 35/6 by 4/4 which would get us 30/24 and 140/24 then we add them and get 170/24 and then simplify, which gets you 85/12 and then put it into a mixed number which is 7 1/12

Step-by-step explanation:

Simplify; (³√729)³ + 24

Answers

Answer:

[tex](\sqrt[3]{729} )^{3}[/tex] + 24 can be simplified to 753.

Step-by-step explanation:

If you take the root of a number to a specific number, then square that by the same number you took the root by, then you will have the same number you started with. In this case, [tex]\sqrt[3]{729}[/tex] equals 9, and [tex]9^{3}[/tex] equals 729, so [tex](\sqrt[3]{729} )^{3}[/tex] equals 729. 729 + 24 = 753, so that is the simplified answer.

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