Find the Domain (x^2-36)/(3x)

Problem

(x2−36)/(3*x)

Solution

1. Identify the condition for the domain of a rational function. A rational function is defined for all real numbers except where the denominator is equal to zero.

2. Set the denominator equal to zero to find the excluded values.

3*x=0

3. Solve for x by dividing both sides by 3.

x=0

4. State the domain as all real numbers except the value that makes the denominator zero. In interval notation, this excludes the point 0

Final Answer

Domain:(−∞,0)∪(0,∞)

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