Find the Domain f(x)=24/x

Problem

ƒ(x)=24/x

Solution

1. Identify the type of function. This is a rational function, which 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.

x=0

3. Determine the domain by excluding the value found in the previous step from the set of all real numbers.

4. Express the domain in interval notation or set-builder notation.

Final Answer

Domain: *(−∞,0)∪(0,∞)

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