Find the Domain y=-1/3x

Problem

y=−1/(3*x)

Solution

1. Identify the type of function. This is a rational function where the variable x is in the denominator.

2. Determine the restriction for the domain. A rational expression is undefined when the denominator is equal to zero.

3. Set the denominator equal to zero and solve for x

3*x=0

4. Solve for x by dividing both sides by 3

x=0

5. Exclude this value from the set of all real numbers. The domain consists of all real numbers except x=0

Final Answer

Domain: *{[x∈ℝ,x≠0]}

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