SOLUTION: Find the vertical asymptotes,if exist,of the following functions. a) f(x)=5x/(3x^2+4) b) g(x)=12x^2-3/(4x^2-8)

Algebra ->  Rational-functions -> SOLUTION: Find the vertical asymptotes,if exist,of the following functions. a) f(x)=5x/(3x^2+4) b) g(x)=12x^2-3/(4x^2-8)      Log On


   

Question 908541: Find the vertical asymptotes,if exist,of the following functions.
a) f(x)=5x/(3x^2+4)
b) g(x)=12x^2-3/(4x^2-8)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
(a) has no vertical asymptote because the denominator will never be zero.

(b) will have a vertical asymptotes for 4x%5E2-8=0
x%5E2-2=0
x%5E2=2
x=-sqrt%282%29 AND x=sqrt%282%29


(The "AND" for the two vertical asymptotes for (b). )