f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0

Answers

Answer 1

The functions f(x) and g(x) combine to form a composite functions

The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

How to determine the function (fg)(x)

The functions are given as:

[tex]f(x) = \sqrt{2x[/tex]

[tex]g(x) = \sqrt{8x[/tex]

To calculate (fg)(x), we have:

[tex]f(x) = \sqrt{2x[/tex]

This gives

[tex]f(g(x)) = \sqrt{2g(x))[/tex]

Substitute [tex]g(x) = \sqrt{8x[/tex]

[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]

Simplify

[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]

Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

Read more about composite functions at:

https://brainly.com/question/10687170

Answer 2

Answer:

f.g x = 4x

Step-by-step explanation:


Related Questions

A cube has a side length of 12 inches. The cube is divided into 8 equal sized sections. What
is the volume of each section?

Answers

Answer:

216 cubic inches

Step-by-step explanation:

To find the volume of just the cube:

12 x 12 x 12 = 1728

then to find the volume of the section:

1728/8 = 216

How many square yards of carpet are needed to cover the floor of a related 15 feet long and 12 feet wide

Answers

Answer:

20 yards squared.

Step-by-step explanation:

First, you should convert your units. Three feet make a yard, so 15 feet = 5 yards and 12 feet = 4 yards.

The area of a square is found by multiplying the length and width, so 5 yards x 4 yards = 20 yards.

What is the slope of the line that passes through the points (-10, -4)(−10,−4) and (10, -29) ?(10,−29)? Write your answer in simplest form.

Answers

Answer:

hope you like my answer its -42.7

Pls help I suck at math I did understand but completely forgot after like 2 hours help

Answers

Answer:

Step-by-step explanation:

(1/5 + 1/2)² + 3/10 × 5

= (7/10)² + 3/10 × 5

= 7/10 × 7/10 + 3/10 × 5/1

= 49/100 + 15/10

= 49/20 + 3/10

= 49 + 6 = 55/20

= 2 15/20 = 2¾

Write the decimal as a fraction or mixed number in simplest form.
-2.36 repeating

Answers

Answer:

37/2

Step-by-step explanation:

since its a repeating 36 would become a 37 and the 2 would become the denominator

1.Прочитать первое действие комедии. Каковы экспозиция и завязка комедии? 2.Пронанализировать диалоги Чацкого и Софьи: поведение героев, их отношение друг к другу, характер высказываний.
3.Что вызывает осуждение Чацкого в нравах московского барства?ЛИТЕРАТУРА

Answers

21,473,862,095 in word from

What is 695.5 rounded to the nearest whole number?

Answers

Answer:           696

Step-by-step explanation:

a janpanese chin is a small dog that weight 7 pound how many ounces is 7 pounds

Answers

Answer:

112 ounces

Step-by-step explanation:

1 pound = 16 ounces

We are converting 7 pounds to ounces

7 × 16 = 112

The statement below describes a situation in which opposite quantities combine to make 0. Is the statement true or false? A cup with a hole in it loses 2 ounces of water in the first minute and then loses 2 ounces of water in the second minute. True False

Answers

Answer:

true

Step-by-step explanation:

if there is 4 ounces of water in it then it would be empty withing 2 minutes

This Assignment is bloody confusing. PLEASE HELP

Answers

Step-by-step explanation:

A = Future value of the amount invested

P = principal (amount of money invested) = $9,200

i  = interest rate =  6% or 0.06

n = number of compounding periods (it is the number of times the interest is compounded).

For the Interest Rate per Compounding Period column, you'll have to divide the interest rate by its corresponding compounding period (please see the definitions of each compounding periods below). For example, the interest rate per compounding period (compounded annually) = interest rate ÷ number of compounding periods ( [tex]\frac{i}{n}[/tex] ) = 0.06/1 = 0.06 or 6%

For the Number of Compounding Periods column, you'll have to multiply (t ) by the number of compounding periods (n):

t × n =  15 years × 1  =  15

The Compound Interest Formula column is pretty self-explanatory--you'll just have to follow the given formula. You need to make sure that you change the values for i and n  for every row.

Compounding periods (n):

compounding annually: n = 1  

compounding semiannually: n = 2

compounding quarterly: n = 4

compounding monthly: n = 12

compounding weekly: n = 52

compounding daily: n = 365

You'll have to use these values into your Compound Interest formula.

I will do the 2nd row (semi-annually) for you as a guide, but you'll have to do the rest so that you could familiarize yourself on how to do it.

Interest Rate per Compounding Period  = i / n = 0.06/2 = 0.03 or 3%

Number of Compounding Periods = t × n =  15 years × 2 = 30

Compound Interest Formula:  [tex]A = 9,200(1 + 0.03)^{30}[/tex]

Final Amount  = 22,330.81

what is 46+56+3+17+30=

Answers

Answer:

The answer to your question is 152

Step-by-step explanation:

46+56+3+17+30= 152

I hope this helps!

Answer:

152

Step-by-step explanation:

46+56= 102. 102+3= 105. 105+17= 122. 122+30= 152

what is 5 * 4 + 6 - 5 * 5 * 7 / 8 * 6 - 8 + 2

Answers

The answer is -445/4 in improper fraction form, -111 1/4 as a mixed fraction, and -111.25 in decimal form.

Answer:

-111.25

Step-by-step explanation:

this might be a waste of time but. 1-6 :)

Answers

Answer:

Step-by-step explanation:

1. 6 yd

2. 32 oz

3. 51.2 fl oz

4. 10560 ft

5. 2.5 T

6. Quarts to what??? Pints???

Sarah has a credit card balance of $9,450 with an APR of 17%. With her current budgeted payment, Sarah will be able to pay off this debt in 36 months. But Sarah’s best friend just invited her to spend two months in Europe with her in 9 months. Wanting to have her credit card balance paid off before she goes to Europe, Sarah decides to take on a second job. What additional monthly income will Sarah need in order to pay off her credit card in 9 months?
a.
$336.92
b.
$467.23
c.
$788.85
d.
$1125.77

Answers

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the information given,

We can find the current monthly payment Sarah is making using the formula for the present value of an annuity:

[tex]PMT = PV \times r \times (1 + r)^n / [(1 + r)^{n - 1}][/tex]

where PV is the present value (balance), r is the monthly interest rate (APR/12), and n is the number of months (36).

PMT.

[tex]= 9450 \times 0.17/12 \times (1 + 0.17/12)^{36} / [(1 + 0.17/12)^{36} - 1][/tex]

= $338.48

To pay off the balance in 9 months, Sarah needs to increase her monthly payment.

Let's call this additional payment x.

Then, we have:

[tex]9450 \times 1.17^{9/12} = (338.48 + x) \times ((1 + 0.17/12)^{9 - 1}) / (0.17/12)\\[/tex]

Solving for x, we get:

x = $1125.77

Therefore,

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Help please this is for geometry. its easy.

Answers

Answer:

Step-by-step explanation:

ccadcdddddddddddddddddddddddd

Need answers with explanation

Answers

Step-by-step explanation:

i guess it helps..if yuh need step by step explanation.comment i try to explain in worda

angle 1 and angle 2 form a linear pair. if m angle 1= x + 47, and m angle 2 = x-12 find the measure of angle 1

Answers

Answer:

215/2

Step-by-step explanation:

A linear pair means that the angles equal 180 degrees.

If added together 1 and 2 equal to 180 degrees, then the equation should be x+47+x-12=180. Then solve and simplify.

x+47+x-12=180

2x-35=180

2x=215

x=215/2

17
3. Kenny can type 75 words in 3 minutes. What is the constant of
proportionality that relates the number of words, y, to the number of
minutes, x?

Answers

Answer:

25

Step-by-step explanation:

Let this relationship be:

y = kx, where y is the number of words in x minutes.

Use the given numbers to find the value of k:

75 = 3kk = 75/3k = 25

help help help please

Answers

Answer:

28

Step-by-step explanation:

first substract 49-21 which will give u 28.

then use this 28 for the other trapezium

add up 24 and 28 together which give 52. then substract 52 from 24 which will give u the answer 28. so therefore 28 is the answer.

hope u understood

Determine the measure of the indicated
exterior angle in the diagram.

Answers

Answer: 110 degrees

Triangle sum theory tells us that all the internal angles are equal to 180.

Meaning, we can solve 2x+3x+3x+4=180 for x

x=22

Then solve for 3x+4, which equals 70.

Last step, take 70 from 180 to find the external angle!

110 :)

Answer:

Exterior angle is equal to 110

Step-by-step explanation:

So to find the exterior angle, you must find the interior angle first.

You know that all 3 angles within the triangle must equal to 180 degrees, so what we can do is set up this equation to reflect that statement:

2x+3x+(3x+4) = 180

Group like terms:

8x+4=180

Solve for x:

8x = 176

x = 22

We can double check to see this matches up with all of the other angles inside:

2x = 44

3x = 66

3x+4 = 70

44 + 66 + 70 = 180

We also know that a straight line is 180 degrees

So, ? = 180 - 70

? = 110 degrees

Each side of a square patio is 10.5 feet. The patio is made up of 1.5 foot by 1.5-foot square stones. What is the number of stones in the patio? Look at the solution below.
Does it include all the steps needed to solve the problem? Explain

10.5 x 10.5 = 110.25 PLZ SOLVE THE PROBLEM
110.25 ÷ 1.5 = 73.5

Answers

The steps your teacher gave you are on the right track, but not quite 100% correct.

The first line has us find the area of the entire patio. That area being 110.25 square feet.

The next step is to find the area of each stone. That would be 1.5 x 1.5 = 2.25 square feet.

Therefore, the patio is made up of 110.25 ÷ 2.25 = 49 tiles

When arranged into a square, we'll have a 7 by 7 square set of stone tiles. Notice how 7 x 7 = 49.

Plz help it’s due tonight!!!

Answers

D. Is the ans
Please mark me as Brainliest

onah bicycled 12 miles in 4 hours. What is the unit rate

Answers

Answer:

Miles per hour

Step-by-step explanation:

And if you want to know the speed it's 3 miles per hour.

can someone please help?

Answers

Answer:

x equals to 6

Step-by-step explanation:

the angles not touching the outer angle equals it


Is -1/3 - 4/5 positive, negative, or zero?
HELP PLS ILL GIVE BRAINLIEST FOR THE CORRECT ANSWER

Answers

Answer:

Negative, -17/15

Step-by-step explanation:

Subtract 131% from 100%.

Answers

Answer:

-31%

Step-by-step explanation:

100 - 131 = -31

[tex]\sf 16\times 6\times 11[/tex]

Answers

Answer:

1,056

Step-by-step explanation:

16 x 6 = 96

96 x 11 = 1,056

Hey there!

16 * 6 * 11

16 * 6

= 16 + 16 + 16 + 16 + 16 + 16

= 32 + 32 + 32

= 64 + 32

= 96

= 96 * 11

= 96 * 11

= 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96

= 192 + 192 + 192 + 192 + 192 + 96

= 384 + 384 + 288

= 768 + 288

= 1,056

Therefore, your answer is: 1,056

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

someone pkease help me ;-;
What is the length of DE
A. 18
B. 12
C. 10
D. 22

Answers

Answer:

the length of DE is A) 18

Step-by-step explanation:

these triangles are similar so you need to create a proportion!

since sides DF and FE are the same, it means that AC and CB are the same!

now we have to find the hypotenuse for DE, which is X

- set up a proportion!

side AC/side AB = side DF/side DE ----> 15/27 = 10/x

- butterfly multiply to get 15x = 270

- divide both sides by 15 to isolate x

now you get --------> x = 18!

comment or message me if you are still confused or have a question!

Please explain how you do it

Answers

Answer:

3^3+(4^3-7^2+3)/3^2

3^3+(64-49+3)/3^2

3^3+(15+3)/3^2

3^3+(18)/3^2

45/3^2

45/9

5

Step-by-step explanation:

Can someone help me do this

Answers

Answer:

5x +2 = 87

So X = 17

3y = 42

So Y = 14

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