SOLUTION: can someone please help with this: Give the equation of the horizontal asymptote of the rational function. g(x) = x-5 / x-1 a. x = 1 b. y = 0 c. y = 1 d. y = 5

Algebra ->  Rational-functions -> SOLUTION: can someone please help with this: Give the equation of the horizontal asymptote of the rational function. g(x) = x-5 / x-1 a. x = 1 b. y = 0 c. y = 1 d. y = 5      Log On


   

Question 166034: can someone please help with this:
Give the equation of the horizontal asymptote of the rational function.
g(x) = x-5 / x-1
a. x = 1
b. y = 0
c. y = 1
d. y = 5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
As x becomes very large (positive or negative), the function looks like,
g%28x%29=x%2Fx=1
y=1
.
.
.
Graphical proof of the asymptote, showing the discontinuity at x=1.
+graph%28+300%2C+300%2C+-100%2C+100%2C+-2%2C+2%2C+%28x-5%29%2F%28x-1%29%29+