Solved: 2 Missing piece et g ) x + 3 a nd find a function

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 42E Chapter 1.1

Calculus: Early Transcendentals | 1st Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

4 5 0 279 Reviews
24
0
Problem 42E

2? Missing? ?piece ? ? ? et g?? )? x + 3 a ? nd find a function f that produces the given composition. 4? 2? ? ? ? (?f ° ? )(? ) ? ? x + 6x ? + 20

Step-by-Step Solution:

Step-by-step solution Step 1 of 3 Step 2 of 3 The function (f g)°x)is the composite function and it can be written as f(g(x)), so we can write the following: (f °)(x) = f(g(x)) 2 = f(x + 3) = x + 6x + 20 We cannot apply directly the rule for the square of binomial so we will rearrange this function: (f g)(x) = x + 6x + 20 ° = x + 6x + 9 + 11 2 If we write x and 9 as (x ) and 3 then we can apply the rule for the square of binomial (a + b) = a + 2ab + b : 2 4 2 (f °)(x) = x + 6x + 9 + 11 2 2 2 2 = (x ) + 2 · x · 3 + 3 + 11 2 2 = (x + 3) + 11 Suppose x + 3 = y then f(y) = x + 6x + 9 + 11 = (x + 3) + 11 = y + 11 2 Thus the required function is f(x) = x + 11

Step 3 of 3

Chapter 1.1, Problem 42E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: composition, Find, function, given, missing. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 42E from chapter: 1.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 42E from 1.1 chapter was answered, more than 269 students have viewed the full step-by-step answer. The answer to “2? Missing? ?piece ? ? ? et g?? )? x + 3 a ? nd find a function f that produces the given composition. 4? 2? ? ? ? (?f ° ? )(? ) ? ? x + 6x ? + 20” is broken down into a number of easy to follow steps, and 42 words.

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Solved: 2 Missing piece et g ) x + 3 a nd find a function

×
Log in to StudySoup
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1.1 - Problem 42e

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1.1 - Problem 42e
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here