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Chapter 5: Q 43. (page 269)

The graph of a one-to-one function f is given. Draw the graph of the inverse function f-1. For convenience (and as a hint), the graph of y=xis also given.

Short Answer

Expert verified

The inverse of the function in red color is shown below.

Step by step solution

01

Step 1. Given information.

Given a graph of a function falong with y=xas shwon below.

02

Step 2. Find the coordinates of f-1 and plot it.

Note that if x,y lies on f, then y,xlies on f-1.

Since the points 1,2,0,1,-1,0,-2,-2 are on the graph f, the points localid="1647276479808" 2,1,1,0,0,-1,-2,-2must be on the graph of localid="1647276475354" f-1.

Keeping in mind that the graph of localid="1647276483680" f-1is the reflection about the

line localid="1647276487371" y=x of the graph of f, draw inverse of the function in red color as shown below.

Blue color denotes the function f.

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