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PCAT Quantitative Reasoning – Domain of a Polynomial

A. {x | x ≠ 3}
B. {x | x ≠ –3}
C. {x | x ≠ 3 and x ≠ 0}
D. {x | x ≠ –3 and x ≠ 0}

Click for Explanation

D is correct. First, let’s factor to simplify this expression:

We know that the function is undefined if there is a value of zero in the denominator, so it must be true that:

x ≠ 3 and x ≠ 0

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