Question

Find the inverse, picture below!

Answer 1

Answer:

$f^{-1}(x) = (x+7)^2$

Step-by-step explanation:

$y=f(x) = \sqrt x - 7 \\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~~x= \sqrt y -7\\\\\implies \sqrt y = x+7\\\\\implies y = (x+7)^2\\\\\implies f^{-1}(x) = (x+7)^2$