Find the Domain h(x)=5/(x-3)

Problem

h(x)=5/(x−3)

Solution

1. Identify the restriction for a rational function, which is that the denominator cannot be equal to zero.

2. Set the denominator expression equal to zero to find the excluded value.

x−3=0

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

x=3

4. Determine the domain by excluding this value from the set of all real numbers.

x≠3

Final Answer

Domain: *(−∞,3)∪(3,∞)

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