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Chapter 5: Q 30. (page 268)

Find the inverse of one-to-one function. State the domain and the range of inverse function.-2,2,-1,6,0,8,1,-3,2,9

Short Answer

Expert verified

Inverse of given function is 2,-2,6,-1,8,0,-3,1,9,2

Domain of inverse function is 2,6,8,-3,9

Range of inverse function is-2,-1,0,1,2

Step by step solution

01

Step 1. Definition of inverse function 

The function is one-to-one. To find the inverse function, we interchange the elements in the domain with the elements in the range.

The inverse of given function is 2,-2,6,-1,8,0,-3,1,9,2

02

Step 2. Domain of inverse function 

The domain of the inverse function is2,6,8,-3,9

03

Step 3. Range of inverse function 

The range of inverse function is-2,-1,0,1,2

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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)=3x+42x-3

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

(a)g鈭�f-1 (b) g鈭�f0(c) f鈭�g-1(d) f鈭�g4.

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

For an exponential function, f(x)=Cax,f(x+1)f(x)=

Solve the equation3x3=9x

and verify your results using a graphing utility.

The domain of a one-to-one functiong is[0,15] , and its range is(0,8). State the domain and the range ofg-1 .
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