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Alex787 [66]
3 years ago
14

What are the vertical and horizontal asymptotes of f(x)=2x/x-1

Mathematics
2 answers:
Pie3 years ago
6 0

Find the <u>vertical </u>and <u>horizontal</u> <u>asymptotes</u> of the <u>graph</u> of the <u>function</u> f(x)=\dfrac{2x}{x-1}:

1. Vertical asymptote.

Since the denominator of the fraction is x-1, then the vertical asymptote is x=1, because the domain of the function is x\neq 1.

2. Horizontal asymptote.

Rewrite the function f(x):

f(x)=\dfrac{2x}{x-1}=\dfrac{2x-2+2}{x-1}=\dfrac{2(x-1)+2}{x-1}=2+\dfrac{2}{x-1}.

The horizontal asymptote has the equation y=2.

Answer: correct choice is B

Anuta_ua [19.1K]3 years ago
6 0

Answer:

Answer is B

Step-by-step explanation:

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