snulp3reenim snulp3reenim
  • 21-11-2016
  • Mathematics
contestada

Consider the function f(x) = ax+3 over x-b.
Find a and b given that y=f(x) has asymptotes with equations x = -1 and y = 2.

Respuesta :

HomertheGenius
HomertheGenius HomertheGenius
  • 21-11-2016
f ( x ) = ( a x + 3 ) / ( x - b )
Vertical asymptote: at x = - 1 the equation goes to infinity.
x - b = 0
- 1 - b = 0
- b = 1
b = - 1
Horizontal asymptote: at y = 2
[tex] \lim_{x \to \infty} \frac{ax+3}{x-b}=2 [/tex]
It means that a = 2.


Answer Link

Otras preguntas

Which of the following best describes what led to London’s “killer fog” in 1952? a. Pollution from the air contaminated the water supply which is what killed pe
what areas of humanity did sigmund freud attempt to understand? check all that apply
What type of political system does Italy have?
84 dollars increase by 12%
What was the name given to the world war 1 veterans who asked government for an early we-related payments
Can a physical change, change what a substance is
what are the layers of the atmosphere
A microbiologist is in the process of classifying a newly discovered organism. Its characteristics include *eukaryotic *unicellular *has a cell wall * autotrop
Which of the following is not equivalent to 3,600 milliliters?
Which sentence uses a verb that agrees with its compound subject? a. Our jewelry and valuables is kept in a safe. b. Kevin and Kimberly walks to the park. c. D