Find the Domain 9/2x-1/2=71/2

Problem

9/(2*x)−1/2=71/2

Solution

1. Identify the variable in the denominator. In the equation 9/(2*x)−1/2=71/2 the variable x appears in the denominator of the term 9/(2*x)

2. Determine the restriction for the denominator. A rational expression is undefined when its denominator is equal to zero.

3. Set the denominator equal to zero and solve for x to find the excluded value.

2*x=0

x=0

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

Domain={[x∈ℝ,x≠0]}

Final Answer

Domain: *(−∞,0)∪(0,∞)

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