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f:R to R is a function defined by f(x)=1...

`f:R to R` is a function defined by f(x)=`10x -7, if 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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