need na now Determine the vertical and horizontal a sympotes of the following rational functions.
Vertical asypmtote horizontal asypmtote
1. f(x) = 2
2x+5
₂. f(x) = x + 3
x +7
3. f (x) = (x + 3) (x −2)
(x+5 (x-4)
4. g(x)=2 + 3x
x² + 3x + 4
5. g(x)=x-3
2x²-8
With solutions
Answers & Comments
Answer:
f(x) = 2 / (2x + 5)
Vertical asymptote: x = -5/2
Horizontal asymptote: y = 0
f(x) = (x + 3) / (x + 7)
Vertical asymptote: x = -7
Horizontal asymptote: y = 1
f(x) = (x + 3)(x - 2) / ((x + 5)(x - 4))
Vertical asymptotes: x = -5 and x = 4
Horizontal asymptote: y = 1
g(x) = (2 + 3x) / (x² + 3x + 4)
No vertical asymptotes (the denominator doesn't have real roots)
Horizontal asymptote: y = 0 (degree of the denominator is greater)
g(x) = (x - 3) / (2x² - 8)
No vertical asymptotes
Horizontal asymptote: y = 0 (degree of the denominator is greater)
Step-by-step explanation: