Answer:
- x = - 3 or x = 3
- x = 3 is removable
Step-by-step explanation:
Given function is discontinuous when the denominator is zero:
- x² - 9 = 0
- x² = 9
- x = √9
- x = 3 or x = - 3
If you simplify the function:
- f(x) = (x - 3) / (x² - 9) = (x - 3) / (x - 3)(x + 3) = 1 / (x + 3)
Then the new function will have one of the discontinuity (x = 3) removed.
