Question 3413: find asymptotes for the following rational functions
h(x)= 2/x-3 and K(x) = 4x-1/5x+2
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! the asymptotes are where the denominator becomes zero, since then, the function tends towards infinity (or minus infinity). So, just figure out what you need for the denominator to be zero:
Remember that there could be an asymptote for the x and y values!
1. For x:
x-3 = 0, so x needs to be 3. Asymptote is x=3. Done!
Now, rearrange the equation to be x=..., we start with y= and then get  , so, x = 
Here, the denominator is zero when y=0. This is the x-axis.
So, there you have the 2 asymptotes.
You do the second one. Just as easy, only got more re-arranging to do to find the y= asymptote.
Jon.
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