To find the inverse function, swap x x and y y , and solve the resulting equation for x x . If the initial function is not one-to-one, then there will be more than one inverse. So, swap the variables:
y=−x2−36 y = − x 2 − 36
becomes
x=−y2−36 x = − y 2 − 36 .
Now, solve the equation
x=−y2−36 x = − y 2 − 36 for y y .
y=−x−36‾‾‾‾‾‾‾‾√ y = − x − 36y=−x−36‾‾‾‾‾‾‾‾√ y = − − x − 36
ANSWER y=−x−36‾‾‾‾‾‾‾‾√ y = − x − 36 y=−−x−36‾‾‾‾‾‾‾‾√
