Finding the Inverse of a Quadratic Function

Hard Algebra Functions

Let the function $f$ be defined as follows:

$$f(x) = 3x^2 - 12x + 9$$

The function $g$ is defined to be the inverse of $f$. If $y = f(x)$, then express $x$ in terms of $y$. Which of the following represents the correct expression for the inverse function $g(y)$?

$$g(y) = 2 - rac{1}{3} ext{sqrt}(y - 3)$$

$$g(y) = 2 + rac{1}{3} ext{sqrt}(y - 3)$$

$$g(y) = 4 - rac{1}{3} ext{sqrt}(y - 3)$$

$$g(y) = 4 + rac{1}{3} ext{sqrt}(y - 3)$$

Hint

Submitted8.4K

Correct5.9K

% Correct70%