SOLUTION: a function is given by :f(x) =x+2/x2-5x+4 write the equation of asymptotes of the sketch of y=f(x)

Algebra ->  Equations -> SOLUTION: a function is given by :f(x) =x+2/x2-5x+4 write the equation of asymptotes of the sketch of y=f(x)      Log On


   

Question 938044: a function is given by :f(x) =x+2/x2-5x+4 write the equation of asymptotes of the sketch of y=f(x)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=(x+2)/(x^2-5x+4)=(x+2)/((x-1)(x-4))

f%28x%29=%28x%2B2%29%2F%28x%5E2-5x%2B4%29=%28x%2B2%29%2F%28%28x-1%29%28x-4%29%29

Two asymptotes, both vertical, at x=1 and x=4.