I've got two homework question that have me stumped. Both lack an x-intercept, and the second one throws an oblique asymptote into the mix.
Problem one provides the following characteristics:
Vertical asymptotes at $x=-2$, and $x=5$, Hole in graph at $x=0$, Horizontal asymptote at $y=3$
What has me stumped is what am I supposed to do with the numerator? All the previous question had an x-intercept.
Here's what I have so far: $\dfrac{x}{x} \cdot \dfrac{3(???)}{(x+2)(x-5)}$
Problem two also does not provide an x-intercept. This problem also has an oblique asymptote that I don't know how to handle.
Here are the characteristics: Vertical asymptotes at $x=2$ and $x=-4$, Oblique asymptote at $y=2x$
Any help would be greatly appreciated!