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 30E
To determine

To evaluate the expression.

Expert Solution

Answer to Problem 30E

The expression is evaluated as:

  (fg)(0)=0

Explanation of Solution

Given information:

The expression is (fg)(0) .

Formula used:

The composition of the function is defined by,

  (fg)(x)=f(g(x))

Calculation:

Use definition of composition of the function,

  (fg)(0)=f(g(0))

Therefore, from the graph, g(0)=3 ,

  (fg)(0)=f(3)

From, the graph, f(3)=0

  (fg)(0)=0

Hence,

The expression is evaluated as:

  (fg)(0)=0

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