Question Detail
Question
If \( f(x) = \frac{x^2 - 9}{x + 3} \) has a removable discontinuity at \( x = -3 \), then \( f(-3) = \)?
Correct Answer
Option D is the correct answer.
Detailed Explanation
The function simplified is ( f(x) = \frac{(x-3)(x+3)}{x+3} = x-3 ) for ( x \neq -3 ). To remove the discontinuity, we set ( f(-3) = -3 - 3 = -6 ).
Hint
Simplify the rational function by factoring the numerator.