f(x) = V22
g(x) = V322
Find (f .g)(x). Assume x2 0.
O A. (f.g)(x) = 8x
B. (f.g)(x) = 8VC
O c. (f.g)(x) = 32x
D. (f.g)(x) = V34x

Answer:

Step-by-step explanation:

g(x) = √(32x) = √(2⁵x) = 4√(2x)

(f∘g)(x) = f(g(x))

= f(4√(2x))

= √(2 ⋅ 4√(2x))

= √(8√(2x))

= √8∜2∜x

= ∜(2⁷x)

= ∜(128x)

which doesn’t match any of the choices. There’s an error in the question.

I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.

Dimple volunteered 32 hours last month at a local animal shelter. This is 20% of the total hours that she has volunteered this year. How many hours did she volunteer this year?

Mr. Dalton had to take a business trip to Australia. When he went, the exchange rate was 1 Australian dollar equaled $0.76 American dollar. He exchanged $385 with an exchange fee of $6.50. How many Australian dollars did he receive? Round to the nearest whole Australian dollar

What is 65% of 85, rounded to two decimal places?

What is the distance between points (−, −) and (, −)?

How are area and volume similar?

When f ( x ) = 9 x 2 + x − 5 , evaluate f ( − 4

What is the value of x?


Enter your answer in the box.

x =

$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
The figure shows 2 right triangles, triangle K L J with right angle J and triangle L J M with right angle M. The measure of angle L K J is 30 degrees. The measure of angle L J M is 45 degrees. The length of side K L is 8 square root 2. The length of side L M is x.

Question 13 please help& give explanation if possible thank u

Select the correct answer. The hiking club is getting new T-shirts and will vote to choose the design. Marianna and Chloe are each designing a T-shirt using a computer program. Marianna’s design features an image of the mountains, with the peaks and valleys modeled by function m, where x is the horizontal distance, in inches, from the left edge of the design. Chloe’s design also features an image of the mountains, with the peaks and valleys modeled by function c, where x is the horizontal distance, in inches, from the left edge of the design. Which T-shirt design has the lowest valley floor over the first 6 inches of the design? Both designs have valley floors at the same height over the first 6 inches of the design. Marianna’s design doesn’t have a valley floor over the first 6 inches of the design. Chloe’s design has the lowest valley floor over the first 6 inches of the design. Marianna’s design has the lowest valley floor over the first 6 inches of the design.

After school Philippe spent 1 3/4 hours at baseball practice, 2 1/4 hours on homework, and 1/4 hour getting ready for bed. About how many hours after school will he be ready for bed. Explain

Please help me I really need help

Pilot Shop is a catalog business providing a wide variety of aviation products to pilots throughout the world. Maynard Shephard, the recently hired assistant controller, has been asked to develop a cost function to forecast shipping costs. The previous assistant controller had forecast shipping department costs each year by plotting cost data against direct labor-hours for the most recent 12 months and visually fitting a straight line through the points. The results were not satisfactory.
After discussions with the shipping department personnel, Maynard decided that shipping costs could be more closely related to the number of orders filled. He based his conclusion on the fact that 10 months ago the shipping department added some automated equipment. Furthermore, he believes that using linear regression analysis will improve the forecasts of shipping costs. Cost data for the shipping department have been accumulated for the last 25 weeks. He ran two regression analyses of the data, one using direct labor-hours, and one using the number of cartons shipped. The information from the two linear regressions follows:
Regression 1 Regression 2
Equation SC = 804.3 + 15.68DL SC = 642.9 + 3.92NR
R-squared .365 .729
Standard error of the estimate 2.652 1.884
t-value 1.89 3.46
where:
SC = total shipping department costs DL = total direct labor-hours
NR = number of cartons shipped
Required
1. Identify which cost function (regression 1 or regression 2) Pilot Shop should adopt for forecasting total shipping department costs and explain why.
2. If Pilot Shop projects that 600 orders will be filled the coming week, calculate the total shipping depart- ment costs using the regression you selected in requirement 1.
3. Explain two or three important limitations of the regression you selected in requirement 1, and identify one or two ways to address the limitations. Specifically include in your discussion the effect, if any, of the global nature of Pilot Shop’s business.

What is the missing lengt?
area = 405 m

Laura will pay 50 dollars more in rent on her apartment in two months. If she pays 640 dollars now, what will her monthly rent be in two month's ​

The county fair charges $1.00 per rode and an additional $3.00 to get in the fair. Write an equation to represent the total cost of attending the fair.

First identify the independent and dependent variables.​

how do I solve this?​

What is the midpoint of the line segment graphed below?
10
(123)
(5.-10)
O O A. (- / -13)
B. (-:-)
c. (2)
OD. (-25)

let f(x) = 1/x and g(x) = x² – 5x. What
two numbers are not in the domain of fºg?
Separate your answers with a comma.
Enter the correct answer.

Why is stock data calculated using the subtraction and addition method instead of a simple moving average? PLEASE HURRY I AM TAKING A TEST

What is the equation of a circle with a center at (−3, 2) and radius 16?

Suzie has $2000 in a savings account. The simple interest rate is 10% each year.` How much interest will she earn in 4 years?

What is the angle of elevation of the sun when a 50-ft
mast casts an 18ft shadow? Round to the nearest
whole number.
Tan O
50
18
Tano= Opposite Leg
Adjacent Leg
0=
✓
Submit
50ft
o
F-18 ft -
Please help me solve this problem

In the diagram, MQ is perpendicular to PR, and AMPR is isosceles. What is the measure of /MQR?

Sasha is the manager at a factory.
Last weekend 15 employees assembled 390 identical wardrobes.

Sasha wants 1200 of these wardrobes to be assembled next weekend.

How many employees does Sasha need next weekend?
You must show your working.
​

PLEASE HELP IM BEING TIMED!! WILL GIVE BRAINLIEST!!!!
A 2-column table with 7 rows. The first column is labeled Time (seconds) with entries 0, 1, 2, 3, 4, 5, 6. The second column is labeled Height (feet) with entries 3, A, 6, 7, 6, 4, B.
Assuming that the throw represents projectile motion, what are the missing values in the table?

A = 5, B = 3
A = 4, B = 0
A = 4, B = 3
A = 5, B = 0

Please helpppppppppppp

What's the first step in solving this equation 3m+9=30

If a class of 27 students had a mean of 72 on a test, interpret the mean of 72 in the sense of a fair share measure of the center of the test scores.

x is less than or equal to 25.


Question options:

x ≥ 25


x > 25


x ≤ 25


x < 25

Please help me do not and please give me an explanation too please. No link please