Find the domain of the function $f(x)=\frac{2x-7}{\sqrt{x^2}} - \sqrt{5x+6-11}$.
The first function can take any x value except x = 0
For the second function we have sart [ [5x - 5 ]
5x - 5 must be ≥ 0
5x - 5 ≥ 0
5x≥ 5
x ≥ 1
The most restrictive interval is the second
So....the domain is [ 1 , inf )