# How do you find the domain of #f(x)=(sqrt(x-9))/(x^2-16)#?

##### 1 Answer

Apr 2, 2017

#### Explanation:

The domain is the set of numbers that

Let's look at the numerator first. You can only take the square root of a number greater than or equal to

Let's then look at the denominator. You cannot divide by zero. This means that

Combining these gives

Our final answer is