What is the horizontal asymptote of f(x)=-2x/x+1 A.-2 B.-1 C.0 D.1

2 answers:

7 0

A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case,
$\lim_{x \to \infty} \frac{-2x}{x+1} = \lim_{x \to \infty} \frac{-2x}{x(1+ \frac{1}{x} )}\\
=\lim_{x \to \infty} \frac{-2}{1+ \frac{1}{x} }\\
= -2
$

Thus, the horizontal asymptote of f(x) is y = –2.

VMariaS [17]3 years ago

3 0

Answer:

-2

Step-by-step explanation:

just took the test

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