f(x)=√x-2

Question

Find the domain of the function is it x-2
the range of function is it (00,-2)
the domain of the inverse is it x>-2
The range of the inverse is it (-2,00)

Thanks

Answer 1

for the domain, we know that √u must have u>=0, so we need x-2>=0, or x>=2.

the range is [0,oo)

domain and range are switched for the inverse