Use algebra to determine the location of the vertical asymptotes and holes in the graph of the function. (Enter your answers from smallest to largest.)

Question

g(x)= 2x^2/x^4-x^2

Answer 1

Vertical asymptotes occur typically where the denominator equals zero.

So to determine these points, which are also holes on the graph, solve for the points where the denominator = 0, i.e.
x^4-x^2=0
x²(x²-1)=0
x=0 or ±x=1