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 29E
To determine

To find value of (gf)(4)

Expert Solution

Answer to Problem 29E

The value of (gf)(4) is 5

Explanation of Solution

Given information:

From graph, f(4)=2

Calculation :

  According to the definition of composite function,we know that:(gf)(x)=g(f(4))From the definition above ,we have:(gf)(4)=g(2)As we can see in the graph f(4)=2So,(gf)(4)=g(2)Once again,it is obvious that g(2)=5So finally we have:(gf)(4)=g(f(4))(gf)(4)=g(2)(gf)(4)=5

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