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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Express the function in the form fg.

45. F ( x ) = x 3 1 + x 3

To determine

To express: The function F(x)=x31+x3 in the form of (fg)(x) .

Explanation

The given composite function is F(x)=x31+x3 .

Name the expression x3 as g(x)=x3 .

Thus, F(x)=g(x)1+g(x)

It can be expressed as F(x)=f(g(x)) as F(x) is a composition of f and g.

Replace g(x) by x to obtain the expression for f(x) .

Therefore, f(x)=x1+x .

Hence, it can be concluded that F(x)=x31+x3 can be expressed as F(x)=f(g(x)), where f(x)=x1+x and g(x)=x3

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