Finding the Domain of 5/x: Analyzing Function Restrictions

Look at the following function:

5x \frac{5}{x}

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

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1

Understand the problem

Look at the following function:

5x \frac{5}{x}

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

2

Step-by-step solution

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

In other words, x0 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.

3

Final Answer

Yes, x0 x\ne0

Practice Quiz

Test your knowledge with interactive questions

Given the following function:

\( \frac{5-x}{2-x} \)

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

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