Step-by-step explanation:
Set the equation
[tex](x - 4) {}^{2} [/tex]
swap y and x
[tex](y - 4) {}^{2} = x[/tex]
[tex]y - 4 = {x}^{2} [/tex]
[tex]y = {x}^{2} + 4[/tex]
So the inverse is
[tex] {x}^{2} + 4[/tex]
The domain is [4, infinity)
The range is [0,infinity)
The domain of the inverse is [0, infinity)
The range is [4, infinity)
