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Chapter 5: Q. 80 (page 270)

The domain of one-to-one function g is0,15, and range is (0,8). State the domain and range oflocalid="1646180141229" g-1

Short Answer

Expert verified

if a function g is one to one function and its domain is 0,15and range is localid="1646180210304" 0,8then the domain of its inverse functiong-1will be0,8and range will be0,15

Step by step solution

01

Step 1. Given data    

Functiong is one to one function

The domain of function g is0,15

The range of function g is0,8

02

Step 2. The domain of the inverse function   

If a functiongis one to one function

then Range of functiong= domain of the inverse functiong-1

as Range of function g is0,8

so the domain of the inverse function g-1will be0,8

03

Step 3. The Range of the inverse function 

If a function gis one to one function

then Domain of function g=range of the inverse functiong-1

As the domain of function g is0,15

so Range of inverse functiong-1will be0,15

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