Question

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

Answer 1

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

Explanation:

`y = -2(x + 3)^2`

`x = -2(y + 3)^2`

`-x/2 = (y + 3)^2`

`sqrt(-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!