BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2, Problem 79RE
To determine

Find the value of the composite function fogoh

Expert Solution

Answer to Problem 79RE

The value of fogoh=1+x

Explanation of Solution

Given information: Consider the functions are f(x)=1x,g(x)=1x2,h(x)=1+x

Calculation:

  (fogoh)(x)=f(g(h(x)))                  =f(1(1+x)2)                  Since g(x)=1x2,h(x)=1+x                  =1[1(1+x)2]             Since f(x)=1x                  =(1+x)2                 =1+x

Thus, the value of fogoh=1+x

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