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Determine the equations of the horizontal asymptotes, if any, of the functions in questions 3–5. HELP PLEASE!!?
3. f(x)=4/x^2+1
4. f(x)=2x+1/x+1
5. g(x)=x+3/(x+1)(x-2)
2 Answers
- DWReadLv 78 years agoFavorite Answer
Parentheses needed!
f(x) = 4/(x² + 1)
As x approaches ∞, f(x) approaches 4/x = 0.
horizontal asymptote: y = 0
:::::
f(x) = (2x + 1)/(x + 1)
As x approaches ∞, f(x) approaches 2x/x = 2.
horizontal asymptote: y = 2
:::::
g(x) = (x + 3)/[(x + 1)(x - 2)]
As x approaches ∞, g(x) approaches x/x² = 1/x = 0.
horizontal asymptote: y = 0.
- Anonymous5 years ago
1. (2)
2. V: x=-6; S: y=5x+4
