Question

If $f : R - \\{2\\} \to R$ 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 1

Answer: (C)

R - {4}

Answer 2

We have,
$f(x)=\frac{x^{2}-4}{x-2}, x \neq 2$
$f(x)=\frac{(x+2)(x-2)}{x-2}, x \neq 2$
$f(x)=(x+2), x \neq 2$
$\therefore$ Range of $f(x)=R-\\{4\\}$