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If f: R rarr R be defined by , f(x) = 10...

If `f: R rarr R` be defined by ,` f(x) = 10x - 7` and` g = f^-1`, then g(x)

A

`(1)/(10x-7)`

B

`(1)/(10x+7)`

C

`(x+7)/(10)`

D

`(x-7)/(10)`

Text Solution

Verified by Experts

The correct Answer is:
C
`f : R rarr R`
implies f(x) = 10x - 7
It is clear that f is one-one and onto.
`therefore` Let y = 10 x - 7
`therefore x=(y+7)/(10)=f^(-1)(y)`
`g(x)=f^(-1)(x)=(x+7)/(10)`
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