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 2.6, Problem 31E
To determine

To find value of (gg)(2)

Expert Solution

Answer to Problem 31E

The value of (gg)(2) is 5

Explanation of Solution

Given information:

From graph, f(2)=1

Calculation :

  According to the definition of composite function,we know that:(gg)(x)=g(g(x))From the definition above ,we have:(gg)(2)=g(g(2))As we can see in the graph g(2)=1So,(gg)(2)=g(1)Once again,it is obvious that g(1)=4So finally we have:(gg)(2)=g(g(2))(gg)(2)=g(1)(gg)(2)=4

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