Find the inverse of the following function: f(x) = 5/ square root of x, for x > 0

The inverse is y = (5/y)^2

You can get this by switching the x and y values and then solving for your new y. 

x = 5/sqrt(y) > Multiply both sides by sqrt(y)
sqrt(y)*x = 5 ---> divide both sides by x
sqrt(y) = 5/x ---> square both sides
y = (5/x)^2