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If f:R-{2}toR is a function defined by f...

If `f:R-{2}toR` is a function defined by `f(x)=(x^(2)-4)/(x-2)`, then its range is

A

R

B

`R-{2}`

C

`R-{4}`

D

`R-{-2,2}`

Text Solution

Verified by Experts

The correct Answer is:
C
We have,
`f(x)=(x^(2)-4)/(x-2),xne2`
`f(x)=((x+2)(x-2))/(x-2),xne2`
`f(x)=(x+2),xne2`
`:.` Range of `f(x)=R={4}`
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