Directions
Read the following questions. Choose the right answer.
There is only ONE correct answer to each question.
Let f(x) = (x²−64)/(x−8) for x≠8, and f(x) = h for x=8. The value of h that makes f(x) continuous at x=8 is:
- -16
- -8
- 8
- 16
Show answer
Correct answer: D. 16
Why
For x≠8, (x²−64)/(x−8) = (x−8)(x+8)/(x−8) = x+8; the limit as x→8 is 8+8=16, so h=16 makes f continuous.