Question

find the inverse, determine whether its a function & state domain & range

Answer 1

f(x)= ((1/3)x)+2)^2

Answer 2

&&
f(x)= 3+\[\sqrt{x-5}\]

Answer 3

To find the inverse replace x with y and solve for the new y.
x=((1/3)y+2)^2
sqrt(x)=(1/3)y+2
sqrt(x)-2=(1/3)y
3sqrt(x)-6=y
The domain is all x greater than zero. The range then would be -6 to infinity.