Find the Domain y=-1/4x

Problem

y=−1/(4*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. In a rational expression, the denominator cannot be equal to zero because division by zero is undefined.

3. Set the denominator equal to zero to find the excluded value.

4*x=0

4. Solve for x by dividing both sides by 4

x=0

5. State the domain. The domain consists of all real numbers except x=0

Final Answer

Domain: *{x|x∈ℝ,x≠0}

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