Find the Domain (3x^3-2x^2-23x+9)/(x-3)

Problem

(3*x3−2*x2−23*x+9)/(x−3)

Solution

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

2. Determine the restriction for the domain by setting the denominator equal to zero, as division by zero is undefined.

x−3=0

3. Solve for x to find the value that must be excluded from the domain.

x=3

4. State the domain as all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{[x∈ℝ,x≠3]}

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