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Chapter 5: Q 45. (page 269)

In Problem, the graph of a one-to-one function fis 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

Graph of fis given as follows:

Step by step solution

01

Given information

Graph of fis given as follows:

02

Step 2. Graph of f-1

We know that the graph of a function f and the graph of its inverse is symmetric with respect to the line y = x

For every point (x, y) on the graph of f(x), there will be a symmetric point (y, x) which will be on the graph of f-1(x).

Points on the given graph of f(x) are (-1,-1),(0,0),(2,1).

So, the corresponding points on the graph of f-1(x)are (-1,-1),(0,0),(1,2).

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Most popular questions from this chapter

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=2x3x-1

If 4x=7, what does 4-2xequal?

In Problems 33-40, the graph of an exponential function is given. Match each graph to one of the following functions.

If 2x=3, what does4-xequal?

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

The function f(x)=2xx-3 hasy=2 as a horizontal asymptote.
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