Find the Domain (x/12*1/4)/(1/4x)+5/12

Problem

ƒ(x)=(x/12⋅1/4)/1/(4*x)+5/12

Solution

1. Identify the denominators in the expression that contain the variable x

2. Set the denominator of the inner fraction, 4*x to be non-zero to ensure the term is defined.

4*x≠0

3. Solve for x to find the restricted value.

x≠0

4. Observe that the main denominator 1/(4*x) can never be zero because the numerator of that fraction is a constant (1.

5. Determine the domain by excluding the value that makes any denominator zero.

Final Answer

Domain:{[x∈ℝ,x≠0]}

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