SOLUTION: Which of the following is true for F(x) = (x^(2)+9)/(x-3)? A) There is a removable discontinuity at x = 3. B) There is a non-removable discontinuity at x = 3. c) The function

Algebra ->  Finance -> SOLUTION: Which of the following is true for F(x) = (x^(2)+9)/(x-3)? A) There is a removable discontinuity at x = 3. B) There is a non-removable discontinuity at x = 3. c) The function       Log On


   

Question 1101725: Which of the following is true for F(x) = (x^(2)+9)/(x-3)?
A) There is a removable discontinuity at x = 3.
B) There is a non-removable discontinuity at x = 3.
c) The function is continuous for all real numbers.
Found 2 solutions by Boreal, Edwin McCravy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It's B, nonremovable discontinuity.
(x^2+9)/x-3). The first cannot be factored, because it is a sum but not a difference of squares. This isn't a hole, a removable discontinuity, but a true vertical asymptote.
graph%28300%2C300%2C-10%2C10%2C-100%2C100%2C%28x%5E2%2B9%29%2F%28x-3%29%29

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Non-removable discontinuity for it approaches infinity for there is
an asymptote at x=3.

[Note: If it had been F(x) = (x^(2)-9)/(x-3), there would have been a
removable discontinuity at x=3, for then the numerator would have 
factored and had a factor of x-3, which is the denominator.]

Edwin