Domain of 6/x: Determining Valid Input Values for a Fraction

Select the the domain of the following fraction:

6x \frac{6}{x}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the domain of substitution
00:03 Domain of substitution exists, to ensure we don't divide by 0
00:06 Meaning the denominator in the fraction must be different from 0
00:09 We will use this formula in our exercise
00:14 X must be different from 0, to avoid dividing by 0
00:17 Therefore this is the domain of substitution
00:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Select the the domain of the following fraction:

6x \frac{6}{x}

2

Step-by-step solution

The domain of a fraction depends on the denominator.

Since you cannot divide by zero, the denominator of a fraction cannot equal zero.

Therefore, for the fraction 6x \frac{6}{x} , the domain is "All numbers except 0," since the denominator cannot equal zero.

In other words, the domain is:

x≠0 x\ne0

3

Final Answer

All numbers except 0

Practice Quiz

Test your knowledge with interactive questions

Determine if the simplification shown below is correct:

\( \frac{7}{7\cdot8}=8 \)

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