What is the domain of the real-valued function f(x) = (2x - 7)/sqrt(x^2 - 7x + 6)?
Anything on the denominator must not be equal to 0 and anything inside a square root must be nonnegative.
Therefore \(x^2 - 7x + 6 > 0\). If you solve the inequality, you get the domain of the function.
