# What is the domain of #f(x)=(x+6)/(x^2+5) #?

##### 1 Answer

Sep 7, 2015

The domain of the function is

#### Explanation:

The domain of a function is the set of numbers for which that function is defined.

For simple rational functions, the only points where the function is undefined are when the denominator equals

Thus, the domain is the **set of all real numbers except the solutions to #x^2 + 5 = 0#.**

However, if you try to solve that quadratic equation, you'll notice that that equation **has no real solutions**.

**no real solution**

That simply means that there is no point whatsover where the function is undefined.

Therefore the domain of the function is