Find the Domain -1/2+1/5w=-3/7

Problem

−1/2+1/(5*w)=−3/7

Solution

1. Identify the variable in the denominator. In the expression 1/(5*w) the variable w is located in the denominator of a fraction.

2. Recall the rule for rational expressions. A fraction is undefined when its denominator is equal to zero.

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

5*w=0

4. Solve for w by dividing both sides by 5

w=0

5. Determine the domain. The domain consists of all real numbers except for the value that makes the denominator zero.

Domain={[w∈ℝ,w≠0]}

Final Answer

Domain: *w≠0

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