## 100 points and brainly please help find vertical and horizontal asymptotes (must show work) f(x) = 2×2+4/x^2 +5x+6

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100 points and brainly please help find vertical and horizontal asymptotes (must show work)

f(x) = 2×2+4/x^2 +5x+6

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Mathematics
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2021-07-22T17:04:29+00:00
2021-07-22T17:04:29+00:00 2 Answers
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## Answers ( )

Answer:It would be very hard to graph this equation correctly as without factoring both the numerator and denominator it would be hard to account for all of the information.

x2−5x+6×2−2x−3x−6(x−2)(x−3)

Step-by-step explanation:Answer:

Step-by-step explanation:

Note that you need to use parentheses around the numerator and around the denominator: f(x) = (2x^2+4)/(x^2+5x+6)

Division by zero is undefined, so x≠-2 and x≠-3.

Vertical asymptotes: x=-2, and x=-3

As x approaches ∞, f(x) approaches 2.

As x approaches -∞, f(x) approaches 2.

Horizontal asymptote: y=2