# What is the domain and range of f(x)=(x+2)^2-3?

Refer to explanation

#### Explanation:

The domain is the set of all real numbers hence

$D \left(f\right) = R$

the range is

$y = f \left(x\right) = {\left(x + 2\right)}^{2} - 3 \implies y + 3 = {\left(x + 2\right)}^{2} \ge 0 \implies y \ge - 3$ hence

$R \left(f\right) = \left[- 3 , + \infty\right)$