   Chapter 1.3, Problem 35E ### 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

# Find the functions (a) f ∘ g , (b) g ∘ f , (c) f ∘ f , and (d) g ∘ g and their domains.35. f ( x ) = x + 1 , g ( x ) = 4 x − 3

(a)

To determine

To find: The function fg and its domain.

Explanation

Given:

The functions are f(x)=x+1,g(x)=4x3 .

Calculation:

The composite function (fg)(x) is defined as follows.

(fg)(x)=f(g(x))=f(4x3)

Substitute 4x3 for x in f(x) ,

f(4x3)=

(b)

To determine

To find: The function gf and its domain.

(c)

To determine

To find: The function ff and its domain.

(d)

To determine

To find: The function gg and its domain.

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