Restrict the domain of the function f(x)=(x-2)to the power of 2 so it has an inverse. then determine its inverse function.

Step-by-step explanation:

Given is a function

This function is a parabola with vertex at (2,0) and axis of symmetry is x=2

Hence for x<2 the curve would be reflection of x>2

To get inverse we must get one to one funciton only.

So restrict the domain of f(x) to

Then we have f(x) as one to one with domain x≥2 and range is R+

For this inverse domain is R+ and range is