Question

Which function below is the inverse of f(x)=x^2-36

X^2/36
+- 6 square root of x
1/x^2-36
+- square root of x+36

Answer 1

+- square root of x+36

Explanation:

f(x) = x^2 -36

y = x^2 -36

Exchange x and y

x = y^2 -36

Solve for y

Add 36 to each side

x+36 = y^2 -36+36

x+36 = y^2

Take the square root of each side

±sqrt(x+36) = y

±sqrt(x+36) = f^-1(x)