   Chapter 1.3, Problem 64E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# If f(x) = x + 4 and h(x) = 4x − 1, find a function g such that g ◦ f = h.

To determine

To find: The function g(x) where (gf)(x)=h(x) .

Explanation

The given functions are f(x)=x+4,h(x)=4x1 .

The composite function (gf)(x)=h(x) is defined as follows.

(gf)(x)=h(x)g(f(x))=h(x)

Substitute the expression for f(x) and h(x)

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