Discussion Forum



1)

If f:R-{2} → R is  a function defined by  $f(x)= \frac{x^{2}-4}{x-2}$ , then its range is


A) R

B) R-{2}

C) R-{4}

D) R-{-2,2}

Answer:

Option C

Explanation:

 We have,

$f(x)= \frac{x^{2}-4}{x-2}$  , x≠2

$f(x)= \frac{(x-2)(x+2)}{x-2},x\neq2 $

 f(x) = (x+2)   , $ x\neq2$

 $\therefore$  Range of f(x) = R-{4}