# How do you find the inverse of y=-2(x+3)²+ and is it a function?

Apr 11, 2016

The inverse of a function is obtained algebraically by switching the x and y values

#### Explanation:

$y = - 2 {\left(x + 3\right)}^{2}$

$x = - 2 {\left(y + 3\right)}^{2}$

$- \frac{x}{2} = {\left(y + 3\right)}^{2}$

$\sqrt{- \frac{x}{2}} = y + 3$

Since the square root of a negative number is undefined in the real number system, this function doesn't have an inverse that belongs to the real number system.

Hopefully this helps!