SOLUTION: Where is F(x) = {x+2}/{x^2-2x-8} discontinuous? A) –2 B) –2, 4 C) 4 D) f(x) is continuous everywhere

Algebra ->  Finance -> SOLUTION: Where is F(x) = {x+2}/{x^2-2x-8} discontinuous? A) –2 B) –2, 4 C) 4 D) f(x) is continuous everywhere      Log On


   

Question 1101726: Where is F(x) = {x+2}/{x^2-2x-8} discontinuous?
A) –2
B) –2, 4
C) 4
D) f(x) is continuous everywhere
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
F(x) = {x+2}/{x^2-2x-8}
:
factor the denominator
:
(x+2) / ((x-4) * (x+2))
:
reduce the expression
:
1 / (x-4)
:
since division by 0 is indeterminate
:
F(x) = {x+2}/{x^2-2x-8} is discontinuous at x = 4
:
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answer is C
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