How do you find the domain of #f(x) = (sqrt[x - 5](x - 6))/(x^2 - 7x + 6)#?
The answer is :
The domain of a function is this subset of real numbers for which all the operations in the functions have sense.
In this case
1) the expression
2) the expression in denominator
From first condition you get an inequality
Second condition leads to solving a square equation
For this equation
So the answer is