If f : RtoR is given by f(x) = 3x-5, the...

If f : R`to`R is given by f(x) = 3x-5, then `f^(-1)`(x) is

A

is given by `(1)/(3x-5)`

B

is given by `(x+5)/(3)`

C

does not exist because f is not one-one

D

doses not exist because f is not onto

Verified by Experts

The correct Answer is:

B

Given, `f(x)=3x-5 " " ` [given]
Let `y=f(x)=3x-5 rArr y+5=3x`
`rArr x=(y+5)/(3)`
`f^(-1)(y)=(y+5)/(3)`
`rArr f^(-1)(x)=(x+5)/(3)`

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