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

1 Answer
Apr 11, 2016

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!