Stratton K.

asked • 09/02/20

Finding the LCD with asymptotes

Equation: y=3/(x+5)-(16/x)-1


Q: Name the least common denominator. Explain how using the least common denominator helps us solve this problem.


I think I should solve this with the asymptotes, but that is what I am unsure about. Any clarity about how to answer this question is greatly appreciated. The asymptotes are x= -5, 0, y= -1.

Doug C.

y=-1 is a horizontal asymptote. The graph actually crosses its horizontal asymptote at x = -80/13. Here is a link to a Desmos graph that has the function written in its original form and also converted to a single fraction using LCD. desmos.com/calculator/2dyzahci15 Seems like 2nd form might make it a bit easier to identify what happens to y values as x approaches its asymptotes from left and right.For example as x approaches 0 from the right y approaches negative infinity.
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09/02/20

1 Expert Answer

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Amy D. answered • 09/02/20

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Hey Stratton,


x=-5 and x=0 are vertical asymptotes and y= -1 is your horizontal asymptotes (If you need to know why or how to get this I can explain that as well just send me a message or leave a comment.


your LCD is x(x+5) or you can write it as x2+5x


There is a lot in this problem if you need tutoring and further explanation feel free to message me. Hope this helps you out, good luck!




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