Find the Domain 1/9X=3

Problem

1/(9*x)=3

Solution

1. Identify the variable in the expression and its location. The variable x is located in the denominator of the fraction on the left side of the equation.

2. Determine the restriction for the domain. In a rational expression, the denominator cannot be equal to zero because division by zero is undefined.

3. Set up the inequality to find the excluded value.

denominator≠0

9*x≠0

4. Solve for x by dividing both sides by 9.

x≠0

5. State the domain in interval notation. Since x can be any real number except 0, the domain consists of all numbers from negative infinity to 0 and all numbers from 0 to positive infinity.

Final Answer

Domain: *(−∞,0)∪(0,∞)

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