SOLUTION: I'm not able to figure these out, can anyone help me out? Find the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not hav

Question 125464: I'm not able to figure these out, can anyone help me out?
Find the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not have an asymptote.
a) this is not showing correctly on the preview, it's supossed to be: "f(x)= 2x+3 OVER x+2".
Answer:
Horizontal:
Vertical:
b) this is not showing correctly on the preview, its supossed to be: "g(x)= 5x OVER x^2+1".
Answer:
Horizontal:
Vertical:

Answer by uma(370) (Show Source): You can put this solution on YOUR website!
(a) given f(x) = (2x+3)/(x+2)
To get the vertical asymptote, set the denominator to 0
==> x+2 = 0
==> x = -2 is the equation of the vertical asymptote.
Now divide all the terms of the function by x and set lt x-> infinity.
==> f(x) = (2 + 3/x)/ (1 + 2/x)
AS x -> infinity, we have f(x) = 2/1 = 2
Thus y = 1 is the equation of the horizontal asymptote.
(b)As x^2 + 1 = 0 does not have a real solution, there is no vertical asymptote.
Divide each term by x^2 and setting lt x-> 0, we get y = 0
So y = 0 is the equation of the horizontal asymptote.
good luck!!!

RELATED QUESTIONS
i am having trouble trying to figure out the slope for these equations can anyone help me (answered by kiljoy)

a) find the horizontal,vertical, and or slant asymptotes b) find the x and y intercepts (answered by venugopalramana)

can anyone help find the slope of the line containing the two given points? A.... (answered by stanbon)

Use the rules for graphing a rational function to create a rational function having these (answered by timvanswearingen,tommyt3rd,RedemptiveMath)

I need help Identify the vertical and horizontal asymptotes of this function?... (answered by MathLover1)

I need to sketch the graph of h(x)=x^3/x^2+1 and include all intercepts and asymptotes.... (answered by checkley77)

Given the rational function f(x)=2x/x+4 I need to find the domain,find the equation of... (answered by edjones)

Find the equations for the horizontal and vertical asymptotes of the following. Type... (answered by stanbon)

Cant figure this one out. Find the vertical and horizontal asymptotes of... (answered by funmath)