SOLUTION: What value must be defined for f(4) to remove the discontinuity of this function at x=4? f(x)=x^2-16/x-4 a. 0 b. 4 c. -4 d. 8 e. -8

Algebra ->  Functions -> SOLUTION: What value must be defined for f(4) to remove the discontinuity of this function at x=4? f(x)=x^2-16/x-4 a. 0 b. 4 c. -4 d. 8 e. -8       Log On


   

Question 1179716: What value must be defined for f(4) to remove the discontinuity of this function at x=4?
f(x)=x^2-16/x-4
a. 0
b. 4
c. -4
d. 8
e. -8
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x%5E2-16%29%2F%28x-4%29=%28%28x-4%29%28x%2B4%29%29%2F%28x-4%29
Does seem clearer now?

If f does not include %28x-4%29%2F%28x-4%29, then x could take on the value of 4.