Question

Suppose that y = f(x) = x^2-4x+4

Then on any interval where the inverse function y = f^–1(x) exists, the derivative of y = f^–1(x) with respect to x is:

a) 1/(2x-4)
b) 1/(2y-4), where x and y satisfy the equation y=x^2-4x+4
c)(1/2)x^(-1/2)
d)(1/2)x^(1/2)
e) Both 1/(2y-4), where x and y satisfy the equation y=x^2-4x+4 and (1/2)x^(-1/2)

Since f^-1(x) = 9-x^2 then the derivative of 9-x^2 is -2x correct?

Answer 1

did you find the inverse yet?

Answer 2

9-x^2

Answer 3

@Austin6i6