Write a function with the following characteristics
20. A vertical asymptote at x= -1
An oblique asymptote at y = x + 2

Question

Write a function with the following characteristics
20.	A vertical asymptote at  x= -1
An oblique asymptote at y = x + 2

tkhunny · Answer

You should not be struggling with the first.  Please demonstrate that one and we can talk about the second.  ALWAYS show YOUR work int he VERY FIRST post on a thread.

nesha97 · Answer

well i know for the vertical asymptote that x+1 would be the denominator right???

faiqraees · Answer

Correct

faiqraees · Answer

For oblique asymptote, the general method is

$$f(x) = oblique~asymptote +\frac{numerator}{horizontal~asymptote} $$
where numerator has to be an expression with a variable degree of less than that of numerator

nesha97 · Answer

so what do i put for the horizontal asymptote and the numerator?

faiqraees · Answer

You can put any constant for a numerator
For horizontal asymptote, you have to put x+1

nesha97 · Answer

x+2+ 2/x-1
like this??

tkhunny · Answer

No, but only because you have not observed properly the Order of Operations.

faiqraees · Answer

$$f(x)=x+2+\frac{2}{x+1}$$ would be correct

nesha97 · Answer

so thats it?? dont i have to write it back into a rational function??

faiqraees · Answer

Yeah you can do that too

nesha97 · Answer

how would i do that

faiqraees · Answer

$$y = \frac{(x+1)(x+2) +2}{x+1} $$

nesha97 · Answer

Ok i factored the numerator and added the 2 and got x^2+3x+4 for the numerator and x+1 for the denominator.....Thank you so much I've been stressed out with that problem since forever