Question

find the inverse of the equation $y = \sqrt{x - 8}$
$\bigcirc y=(x + 8)^2$
$\bigcirc y=(x - 8)^2$
$\bigcirc y=x^2 - 8$
$\bigcirc y=x^2 + 8$

Explanation:

Step1: Swap x and y variables

$x = \sqrt{y - 8}$

Step2: Square both sides to eliminate root

$x^2 = y - 8$

Step3: Solve for y

$y = x^2 + 8$

Answer:

$y = x^2 + 8$ (the fourth option)