# To evaluate the expression ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 2.6, Problem 21E

a.

To determine

## To evaluate the expression

Expert Solution

The value of a is 1

### Explanation of Solution

Given:

Equation is f(x)=3x5  and  g(x)=2x2

Calculation:

g(0)=202       [substitute 0 into g(x)and solve]f(2)=3(2)5=1    [substitute g(0)value into f(x)]

Conclusion:

The value of f(g(0)) is 1.

b.

To determine

### To evaluate the expression

Expert Solution

The value of b is 23

### Explanation of Solution

Given:

Equation is f(x)=3x5  and  g(x)=2x2

Calculation:

Since the question is a composition function f(g(0)) , the next step is to substitute g(0) value into f(x) and solve .

f(0)=3(0)5=5             [substitute 0 into f(x) and solve]g(5)=2(5)2=23        [substitute the answer from f(0) into g(x) to find the composition function g(f(0))]

Conclusion:

The value of b is 23

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