Find domain and range in interval notation and the domain an

Find domain and range in interval notation, and the domain and range of the inverse function.

F(x) = 1/8 squareroot x + 2 Find domain and range in interval notation, and the domain and range of the inverse function.

Solution

let us first find the domain
anything under sqrt must be positive

so, x>=0

Domain : x = [0,inf)

For range just see than at minimum value of x that is at x=0, y=2
and from there as x increases y increases

Range = [2,inf)