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. For a rational expression to be defined, the denominator cannot be equal to zero.

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 as all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{x|x∈ℝ,x≠0}

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