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Chapter 7: Q .3 (page 450)

If the domain of a one-to-one function is [3,鈭�), the range of its inverse is _____ .

Short Answer

Expert verified

If the domain of a one-to-one function is [3,鈭�), the range of its inverse is[3,鈭�).

Step by step solution

01

Step 1. Given Information: 

Given statement: If the domain of a one-to-one function is [3,鈭�), the range of its inverse is _____ .

We want to fill the gap in the given statement.

02

Step 2. Solution: 

We know that

If a function is one to one then the range of its inverse is equal to the domain of the function itself:

Range of the inverse = Domain of the one to one function.

Therefore the range of the inverse of the one to one function which domain is [3,鈭�)is equal to[3,鈭�).

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