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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Which graph represents the function g(x) = 2/x-1 - 3?

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! Which graph represents the function-example-1
User Frayser
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1 Answer

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Answer: D

Explanation:


f(x) = (2)/(x-1)-3

The vertical asymptote is the restriction on the x-value. Since the denominator cannot be equal to zero, then x - 1 ≠ 0 → x ≠ 1. So, the vertical asymptote is: x = 1

The horizontal asymptote is the restriction on the y-value. Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. However, there is a vertical shift of 3 units down so the horizontal asymptote is: y = -3

The only graph that has these asymptotes is the last one, which I call graph D.

User Julien L
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