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Chapter 5: Q. 78 (page 270)

The domain of a one-to-one functionf is [0,鈭�), and its range is[5,鈭�). State the domain and the range of f-1.

Short Answer

Expert verified

If a function fis one to one function and its domain [0,鈭�)is and range is [5,鈭�),then the domain of its inverse function will be[5,鈭�) and range will [0,鈭�)

Step by step solution

01

Step 1. Given data  

Function f is one to one function

The domain of function f is[0,鈭�)

The range of function f is[5,鈭�)

02

Step 2. The domain of the inverse function

If a function fis one to one function

then Range of functionf=domain of the inverse function

as Range of function f is[5,鈭�)

so the domain of the inverse function will be[5,鈭�)

03

Step 3. The Range of the inverse function

If a function fis one to one function

then Domain of function f =range of inverse function

As the domain of function f is [0,鈭�)

so Range of inverse function will be[0,鈭�)

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