Question

If f : R – {2} `rightarrow` R i s a function defined by f(x) = `(x^2 - 4)/(x - 2)`, then its range is ______.

Options

• R

• R – {2}

• R – {4}

• R – {– 2,2}

Answer 1

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

Explanation:

Here f(x) = `(x^2 - 4)/(x - 2) = ((x - 2)(x + 2))/((x - 2))` = x + 2

∴ Range is R