Find the inverse function of (show work)

f (x) = x^2-4

y=x^2-4

first switch x and y to get:

x=y^2-4

now solve to isolate y like a normal function. Start by adding 4 on both sides of the equation.

x+4=y^2

then take the square root of both sides to isolate y and that's your answer

sqrt (x+4) = y