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Chapter 5: Q. 73 (page 269)

Use the graph of y=f(x)given in the Problem 43to evaluate the following:

(a) f(-1)

(b) f(1)

(c) f-1(1)

(d) f-1(2)

Short Answer

Expert verified

According to the graph off(x)and its inverse

(a)f(-1)=0

(b)f(1)=2

(c)f-1(1)=0

(d)f-1(2)=1

Step by step solution

01

Step 1. Given data

The given graph is

02

Step 2. Graph of the inverse function

Points on the graph of the function f(x)are

(-2,-2),(-1,0),(0,1),&(1,2)

then the points of the function f-1(x)will be

(-2,-2),(0,-1),(1,0),&(2,1)

So the graph of the inverse function is

03

Step 3. Part (a)

From the graph

(-1,0)is a point on the graph of f(x)

sorole="math" localid="1646167799685" f(-1)=0

04

Step 4. Part (b)

From the graph

(1,2)is a point on the graph off(x)

sorole="math" localid="1646167820149" f(1)=2

05

Step 5. Part (c)

From the graph

(1,0)is a point on the graph off-1(x)

sof-1(1)=0

06

Step 6. Part (d)

From the graph

(2,1)is a point on the graph off-1(x)

sof-1(2)=1

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