Find the Domain x/(x-3)

Problem

Domain of x/(x−3)

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−3=0

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

x=3

4. State the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers except x=3

Final Answer

Domain: *{x|x∈ℝ,x≠3}

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