# What is the domain and range of  y = x^2 - 7?

Jun 5, 2016

Domain is R, set of real numbers and Range is the set of real numbers greater or equal than -7

#### Explanation:

Domain is R, set of real numbers

Range is the domain of inverse function

$x = \pm \sqrt{y + 7}$

it must be
$y + 7 \ge 0$
$y \ge - 7$

Therefore Range is the set of real numbers greater or equal than -7