Inverse Relations and Functions

Question

Determine whether f has an inverse function. If it does, find the inverse function and state any restrictions on its domain. f(x)=3/(x-3)^2

Answer 1

To find the inverse function switch the x and y values and resolve for y

x=3/(y-3)^2

(y-3)^2= 3/x

y-3 = sqroot 3/x

y= (sqroot 3/x)+3

The domain is restricted to x>0