Find the Domain 1/(2w)+2=4

Problem

1/(2*w)+2=4

Solution

1. Identify the variable in the denominator of the expression. In the equation 1/(2*w)+2=4 the variable w appears in the denominator of the fraction 1/(2*w)

2. Determine the restriction for the domain. A fraction is undefined when its denominator is equal to zero. Therefore, the denominator 2*w cannot be zero.

3. Solve the inequality for the variable. Set the denominator not equal to zero and solve for w

2*w≠0

4. Divide both sides by 2 to isolate the variable.

w≠0

5. State the domain in interval notation or set-builder notation. The domain includes all real numbers except for 0.

Final Answer

Domain: *{[w∈ℝ,w≠0]}

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