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Sagot :
Using it's concepts, it is found that the vertical and horizontal asymptotes for the function f (x) are given by:
x = -2, x = 2, y = 3.
What are the asymptotes of a function f(x)?
- The vertical asymptotes is composed by the values of the input x which are not in the function's domain.
- The horizontal asymptote is the limit of f(x) as x goes to infinity..
In this problem, the function is given by:
[tex]f(x) = \frac{3x^2}{x^2 - 4}[/tex]
For the vertical asymptotes, we have that the denominator cannot be zero, hence:
[tex]x^2 - 4 = 0 \rightarrow x = \pm \sqrt{4} \rightarrow x = \pm 2[/tex]
For the horizontal asymptote, we have that:
[tex]y = \lim_{x \rightarrow \infty} \frac{3x^2}{x^2 - 4} = 3[/tex]
Hence the asymptotes are given by:
x = -2, x = 2, y = 3.
More can be learned about asymptotes at https://brainly.com/question/16948935
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Answer:
D on edge )
horizontal asymptote: y = 3
vertical asymptote: x = –2, x = 2
Step-by-step explanation:
just took the test
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