Question: For the following exercises, use the functions f(x) = 3 2x 2 + x and g(x) = x to find the composite functions. Express

For the following exercises, use the functions f(x) = 3 − 2x2 + x and g(x) = √x to find the composite functions.

Express H(x) = 3√5x2 − 3x as a composition of two functions, f and g, where (f ∘ g)(x) = H(x).

Step by Step Solution

★★★★★

3.39 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

f gx Hx fx 3 2x 2 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus 1st Questions!

Q:

Write the codes for the following exercises? ? ? ? 5.1.2 Coding Exercise 1 (External resource) (3.0 points possible) Phone.py 1 # Write a class named "Phone". The Phone class should 2 #have an...

Q:

Two functions f , g : R R are equal up to nth order at if lim h o f(a + h) g(a + h)/hn =0 (a). Show that f is differentiable at if and only if there is a function g of the form g(x) = a0 + a1 (x a...

Q:

Find f o g o h. a. F(x) = 3x - 2, g(x) = sin x, h (x) = x2 b. f(x) = x - 3, g(x) = x2, h(x) = x3 + 2

Q:

88 Chapter 1 Functions and Their Graphs 1 Cha pter 153 See www.CalcChat.com for worked-out solutions to odd-numbered exercises. Take this test as you would take a test in class. After you are...

Q:

Given the functions: f (x) =x -8x g (x) = 5x h (x) =3x+2 Evaluate the function (h .f) (x) for x=1. Write your answer in exact simplified form. Select "Undefined" if applicable. (h of) (1) is OVO...

Q:

Calculate the following limits x 3 x 2 x 1 a limx 3x 2x 1 c limx 2x 5x 7 e limx 4x 3x 2x 3x 5 g limx sin 2x X 2x 5 x 1 3x 2 b limx d limx f limx 4x 2x 5 2x3 3x 1 5x 3x 2 3x 2x 1 2 x 1 h limx x 2

Q:

Find the difference quotient and simplify. f(x)=-4x2-4x+5 The difference quotient off(x) is ii. Given the functions: f (x) =x -8x g (x) = V2x h (x) =5x-2 Evaluate the function h (f (x)) for x=5....

Q:

\fAlgebra 2 Name 1021 Kuta Software LLC. All rights reserved ID: 1 HW Unit 1.1 Complex Numbers Day 2 Date Period Simplify 1) (2+ 32) + (-7-1) 2) (-6-51) +(6+81) 3) (-6-81) +(3 + 51) 4) (-3+2:)(-8 +...

Q:

SFT 308 ACTIVITY 4.1 Exercises 4.1A Name: Score: Course/Year/Section: Date of Submission: 1. Express the following in expanded form 1.) Ex 1=1 2.) > 3.) [( 3x,? -4x," ) Il. Write in summation...

Q:

9-23 ODD numbers only with correct work! 31. g(x) = x+ 32. h(x) = 0.5(x 33. 8(x) = 3 - 34. f(x ) = x3 - n Exercises 9-16, find the domain of the function algebraically. In Exercises 35-40, de 9. f (...

Q:

Parent Company has a December year-end and its wholly owned subsidiary has a September year-end. Assume all the requirements for different reporting dates have been met. In November, there is a fire...

Q:

An electron is suspended at a distance of 1.20 cm above a uniform line of charge. What is the linear charge density of the line of charge? Ignore end effects.

Q:

MUST INCLUDE CASH FLOW DIAGRAM. Problem 5 You deposit $ 1 5 , 0 0 0 in an account that earns 8 % interest ( APR ) compounded semi - annually ( twice per year ) for the first 4 years, and then 1 2 %...

Q:

LO39.3 Identify and describe the variations of the debate over rules versus discretion in conducting stabilization policy.

Q:

In problem, draw a quick sketch of each equation. y = x 3

Q:

In problem, find the slope and y-intercept of each line. Graph the line. y = -3x + 4

Q:

In problem, draw a quick sketch of each equation. x = y 2

Q:

I have divided this question into two submissions because of length. It may be easier if it is assigned to the same tutor. I am interested in getting the instructions step by step more than the...

Q:

pls help Consider the following information on large-company stocks for a period of years. a. What was the arithmetic average annual return on large-company stocks in nominal terms? Note: Do not...

Q:

Keenan Industries has a bond outstanding with 15 years to maturity, an 8.25% nominal coupon, semiannual payments, and a $1,000 par value. The bond has a 6.50% nominal yield to maturity, but it can be...