SOLUTION: Given f(x) 4/x+3 What is the vertical asymptote and horizontal asymptote?

Algebra ->  Functions -> SOLUTION: Given f(x) 4/x+3 What is the vertical asymptote and horizontal asymptote?      Log On


   

Question 32434: Given f(x) 4/x+3
What is the vertical asymptote and horizontal asymptote?
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 4/(x+3)
Vertical asymptote can be found by equating the denominator with zero
=> x+3 = 0 => x=-3
Horizontal asymptote: as x approaches higher, 4/(x+3) approaches lower and thus f(x) approaches to 0; So, the horizontal asymptote is the x-axis.