SOLUTION: Can you please help me find the vertical and horizontal asymptote of this equation: y= 2/x +1

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Question 83186: Can you please help me find the vertical and horizontal asymptote of this equation: y= 2/x +1


Answer by Mona27(45) About Me  (Show Source):
You can put this solution on YOUR website!
The vertical asymptote here would be x=0 (the y-axis), since we can't put x=0 into the above equation.
As for the horizontal asymptote, if you look carefully, 2/x can never equal zero, and therefore the value of y can never equal 1.
So the horizontal asymptote would be y=1.
You can also look at it this way: rearrange your equation to make x the subject of this formula:
y-1+=+2%2Fx
x=2%2F%28y-1%29
In this expression we can't have a denominator of zero, and the only value of y which makes it zero is y=1.