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

What type of action do progressive verbs show?
A pharmaceutical company prefers experimental studies to conducting surveys or observational studies. what is most likely the reason for this preference?
which excerpt from "Marigold" best illustrates an explicit example of setting?
what did the philosophers of the enlightenment seek to understand?
What is biochemistry
Ohm’s law describes the relationship between which quantities?
Which correctly uses or omits commas? Mike wanted to make an impression at his new school. Indeed the pink tennis shoes gained him plenty of attention. Mike wan
What is an anthropodial shaped coffin?
What is the product of 13/7 × 49/2 × 4/39?
Hideki is having trouble completing long workouts. What does he need to improve? Hydration Stamina Knowledge Power