1.

If `f:RtoR` is given by `f(x)=3x-5` then `f^-1(x)`A. is given by `(1)/(3x-5)`B. is given by `(x+5)/(3)`C. does not exist because f is not one-oneD. doses not exist because f is not onto

Answer» Correct Answer - 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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