# What is the domain of #f(x)=x/(x^2-5x)#?

##### 1 Answer

Sep 19, 2015

#### Explanation:

The domain is every value that

So the only caveat we have here is that the denominator mustn't be 0. Or

We can solve this using the quadratic formula, sum and product, or, just do the easy thing and factor it out.

Since the product can't be zero, neither can, that is

So the domain D, is

Or

Or that same thing in set notation.