# How do you find the domain of #f(x) = (sqrt[x - 5](x - 6))/(x^2 - 7x + 6)#?

##### 1 Answer

Apr 20, 2015

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