Question

Find the domain of the rational function below. F(x)= (x-4)(x+2)/(x+3)(x-4)

Answer 1

{x ≠ -3 ∪ x ± 4}

Explanation:

The (x - 4) terms cancel, but x still may not = 4 (which would cause division by zero). Also, (x + 3) may not be zero (for the same reason), and so x ≠ -3.

The domain of this function is {x ≠ -3 ∪ x ± 4}