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Chapter 5: Q 10. (page 256)

Evaluate each expression using the graphs of y=f(x)and y=g(x)as shown in the given figure.

(a) g鈭�f1(b) g鈭�f5(c) f鈭�g0(d) f鈭�g2.

Short Answer

Expert verified

The value is (a) 3 (b) 4 (c) 1 (d) -2.

Step by step solution

01

Part (a) Step 1. Given information.

Evaluate each expression using the graphs of y=f(x)and y=gx.

02

Part (a) Step 2. Evaluation of a functional value.

The functional value is

g鈭�f1=gf1=g-1=3.

03

Part (b) Step 1. Given Information.

Evaluate each expression using the graphs of y=f(x)&y=gx.

04

Part (b) Step 2. Evaluation of a functional value. 

The functional value is

g鈭�f5=gf5=g1=4.

05

Part (c) Step 1. Given Information.

Evaluate each expression using the graphs of y=fx&y=gx.

06

Part (c) Step 2. Evaluation of a functional value. 

The functional value is

f鈭�g0=fg0=f5=1.

07

Part (d) Step 1. Given information.

Evaluate each expression using the graphs of y=fx&y=gx.

08

Part (d) Step 2. Evaluation of a functional value. 

The functional value is

f鈭�g2=fg2=f2=-2.

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