Find the domain of the function $f(x)=\frac{2x-7}{\sqrt{x^2}} - \sqrt{5x+6-11}$.
Well we know that x can not equal 0, because then we would have a number that is undefined, so the domain of the function f(x) is
( - inf , 0 ) U ( 0 , inf )
Answer: ( - inf , 0 ) U ( 0 , inf )
In the first function , x cannot = 0
In the second function
5x + 6 -11 ≥ 0
5x - 5 ≥ 0
5x ≥ 5
x ≥ 1
So.......the most restrictive interval is the second one
So the domain is [1, inf )
+1678 
