For the following rational function, list and label any x and y intercepts, as well as the vertical, horizontal, and oblique/slant asymptotes and holes (if any). Write the intercepts as coordinates; write asymptotes as equations.
g(x)= [x^3 -4x]/[(x+2)(9x-1)]

Question

For the following rational function, list and label any x and y intercepts, as well as the vertical, horizontal, and oblique/slant asymptotes and holes (if any). Write the intercepts as coordinates; write asymptotes as equations.
g(x)= [x^3 -4x]/[(x+2)(9x-1)]

anonymous · Answer

@badmood @CaptainFluffy

anonymous · Answer

@Hero @jigglypuff314 @Ashleyisakitty

anonymous · Answer

For starters, you can simplify your function, g:
$$g(x)=\dfrac{x^3-4x}{(x+2)(9x-1)}=\dfrac{x(x-2)}{9x-1}$$
Solving your question is a lot easier now.