SOLUTION: Find the vertical asymptotes, if any, of the graph of the rational function. g(x)=x/x^2-16

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the vertical asymptotes, if any, of the graph of the rational function. g(x)=x/x^2-16      Log On


   

Question 784598: Find the vertical asymptotes, if any, of the graph of the rational function.
g(x)=x/x^2-16
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

g%28x%29=x%2F%28x%5E2-16+%29++
since %28x%5E2-16+%29++ is denominator, domain will be all real numbers x except value of x that makes denominator equal to zero and these are:
%28x%5E2-16+%29=0++....factor completely
%28x%5E2-4%5E2%29=0++
%28x-4%29%28x%2B4%29=0++
if
%28x-4%29=0++=> x=4
or
if
%28x%2B4%29=0++=> x=-4
so, vertical asymptotes are: x=4 and x=-4