Finding the Domain of 5/x: Analyzing Function Restrictions

Question

Given the following function:

$\frac{5}{x}$

Does the function have a domain? If so, what is it?

00:00 Does the function have a domain? And if so, what is it?

00:03 To find the domain, remember that we cannot divide by 0

00:07 Therefore, let's see what solution makes the denominator zero

00:10 And this is the solution to the question

Since the unknown is in the denominator, we should remember that the denominator cannot be equal to 0.

In other words, $x\ne0$

The domain of the function is all those values that, when substituted into the function, will make the function legal and defined.

The domain in this case will be all real numbers that are not equal to 0.

Yes, $x\ne0$