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Let f: R-{3/5}->R be defined by f(x)=(3x...

Let `f: R-{3/5}->R` be defined by `f(x)=(3x+2)/(5x-3)` . Then

A

`f^(-1)(x)=f(x)`

B

`f^(-1)(x)= -f(x)`

C

`(fof)x= -x`

D

`f^(-1)(x)=(1)/(9)f(x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Given that, ` f(x) =(3x+2)/(5x-3)`
Let ` " " y=(3x+2)/(5x-3)`
`3x+2=5xy-3yimplies x(3-5y)= -3y-2`
`x=(3y+2)/(5y-3)impliesf^(-1)(x)=(3x+2)/(5x-3)`
` :. f^(-1)(x)=f(x)`
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NCERT EXEMPLAR-RELATIONS AND FUNCTIONS-Relations And Functions
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