Question

which equation can be simplified to find the inverse of $y = x^2 - 7$?

$\bigcirc$ $x = y^2 - \frac{1}{7}$

$\bigcirc$ $\frac{1}{x} = y^2 - 7$

$\bigcirc$ $x = y^2 - 7$

$\bigcirc$ $-x = y^2 - 7$

Explanation:

Step1: Recall inverse function steps

To find the inverse of a function \( y = f(x) \), we swap \( x \) and \( y \) and then solve for \( y \).

Step2: Apply to given function

Given \( y = x^2 - 7 \), swapping \( x \) and \( y \) gives \( x = y^2 - 7 \).

Answer:

C. \( x = y^2 - 7 \)