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Find any points of discontinuity for the rational function below. Describe any vertical or horizontal asymptotes and any holes.
y=(x-1)/(x+2)(x-1)
Please show any steps and formulas used. An explanation would be appreciated. I do not even know what asymptotes are!

Sagot :

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Answer:

For

 y = (x^2 -4)/((x +2)(x^2 -49))

the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving

 y = (x -2)/(x^2 -49)

There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.

The horizontal asymptote is y=0.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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