Determine the range of the inverse of f(x)=sqrt x-4

First, we need to find the inverse of our function . To do that we are going to take advantage of the fact that . So we can rewrite our function as ; now, we are gong to interchange  and  and solve for  to find our inverse:




Since this is the parabola  shifted 4 units upwards. Its range will be [4,∞)