BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.3, Problem 62E
To determine

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

Expert Solution

Answer to Problem 62E

The function g(x)=4x17 .

Explanation of Solution

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) .

Thus, g(x+4)=4x1 (1)

Replace x by (x4) in equation (1) and get the expression for g(x) .

g(x4+4)=4(x4)1g(x)=4x161=4x17

Thus, the function g(x)=4x17 .

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