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If function f:RtoR is defined by f(x)=3x...

If function `f:RtoR` is defined by `f(x)=3x-4` then `f^(-1)(x)` is given by

A

`(1)/(3)(x+4)`

B

`(1)/(3)x-4`

C

`3x+4`

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
A
`f : R rarr R`
`implies f(x) = 3x - 4`
f is one-one onto function.
`therefore` Let y = 3x - 4
`x = (y+4)/(3)`
Replace x by y implies `y = (x+4)/(3)=f^(-1)(x)`
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