Find the Domain 1/2x+1/3=1/6

Problem

1/(2*x)+1/3=1/6

Solution

1. Identify the variable in the denominator. In the expression 1/(2*x) the variable x is part of the divisor.

2. Set the denominator equal to zero to find the excluded values, as division by zero is undefined in the set of real numbers.

2*x=0

3. Solve for x by dividing both sides by 2

x=0

4. Determine the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers except x=0

Final Answer

Domain:{[x∈ℝ,x≠0]}

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