Find the Domain 23/(6x-24)

Problem

23/(6*x−24)

Solution

1. Identify the condition for the domain of a rational function. A rational function is undefined when its denominator is equal to zero.

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

6*x−24=0

3. Solve for x by adding 24 to both sides of the equation.

6*x=24

4. Divide both sides by 6 to isolate x

x=4

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

Final Answer

Domain: *(−∞,4)∪(4,∞)

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