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Chapter 5: Q 32. (page 268)

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

Short Answer

Expert verified

Inverse of the function is -8,-2,-1,-1,0,0,1,1,,8,2. Domain and Range of the inverse function is -8,-1,0,1,8 and -2,-1,0,1,2 respectively.

Step by step solution

01

Step 1. Given information.

Given a one-to-one function -2,-8,-1,-1,0,0,1,1,2,8.

02

Step 2. Find the inverse of the one-to-one function.

Note that inverse of every one-to-one function exists.

The inverse of the function is found by interchanging the entries in each ordered pair.

Therefore, inverse of the given function is-8,-2,-1,-1,0,0,1,1,8,2.

03

Step 3. Find the domain and range of the inverse function.

Domain of a function is the set of all first components in a function.

Domain of the inverse function is -8,-1,0,1,8.

Range of a function is the set of all second components in a function.

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

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