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nirvana33 [79]
3 years ago
6

Simplify the rational expressions. state any excluded values

Mathematics
1 answer:
dlinn [17]3 years ago
4 0

Answer:

8.) 3

9.) x+5

10.) 50x/2x-5

11. 3n4-n3(cubed)/n3+n2-n-1


Step-by-step explanation:


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Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9
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Using the asymptote concept, we have that:

  • The vertical asymptote is x = 9.
  • The horizontal asymptote is y = 3.
  • The end behavior is that as x \rightarrow \infty, y \rightarrow 3.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

f(x) = \frac{3x}{x - 9}

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3

Hence, the end behavior is that as x \rightarrow \infty, y \rightarrow 3.

More can be learned about asymptotes at brainly.com/question/16948935

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Which of the following is equivalent to 1/8?
neonofarm [45]
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Express sin(3theta) in terms of sin (theta)
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Read 2 more answers
63-28=subtracting by adding up
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Answer:

35

Step-by-step explanation:

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