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RUDIKE [14]
3 years ago
7

PLEASE HELP!!!

Mathematics
1 answer:
NemiM [27]3 years ago
8 0

Answer:

D. 2 3 • 3 2 • 5

Step-by-step explanation:

ig I need at least 20 characters to submit my answer. :)

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What are the equations of the asymptotes of the rational function? Please explain. f(x)=<img src="https://tex.z-dn.net/?f=%5Cfra
tangare [24]

Answer:

vertical asymptote at x = 7

horizontal asymptote at y = 6

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non-zero for this value then it is a vertical asymptote.


solve:  

x − 7 = 0 ⇒ x = 7  is the asymptote

Horizontal asymptotes occur as

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divide terms on numerator/denominator by x

f ( x ) = 5/ x +6= 5 /x + 6

x/ x − 7 /x      1 − 7/ x

as   x ± ∞ , f ( x ) → 0 +6

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⇒ y = 6  is the asymptote

graph{((5)/(x-7))+6 [-20, 20, -10, 10]}

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3 years ago
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