SOLUTION: f(x)=(5x+1)/(x^2-5x+6).... find vertical asymptotes

Question 611123: f(x)=(5x+1)/(x^2-5x+6).... find vertical asymptotes

Found 2 solutions by jsmallt9, ewatrrr:
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The vertical asymptotes occurs for x values that make a denominator zero, if any. So all you have to do is find out what x values make the denominator zero. In other "words", solve:

Since this is a quadratic equation we want one side to be zero. The right side is already zero so we can proceed directly to the next step: Factor or use the Quadratic Formula. This factors quite easily:
(x-2)(x-3) = 0
From the Zero Product Property we know that a product can be zero onlyif one (or more of the factors is zero. So:
x-2 = 0 or x-3 = 0
Solving these we get:
x = 2 or x = 3
These are the equations of the vertical asymptotes of f(x).
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
f(x)= (5x+1)/(x^2-5x+6)
f(x)= Note: denominator CANNOT = 0
x = 3 and x = 2 are the vertical asymptotes
Might recommend the FREE graph software at http://www.padowan.dk.com
See Graph:

RELATED QUESTIONS
F(x)=(x^2-5x-24)/(2x+1) Find zeros, vertical and horizontal asymptotes (answered by josgarithmetic)
Find all horizontal/vertical asymptotes and all x-intercepts:... (answered by jim_thompson5910)
y=(5x-5)/(x+2) vertical... (answered by josgarithmetic)
Given f(x)= 7x+5/7x^2+5x . Find the domain and vertical... (answered by Fombitz)
Find the horizontal and vertical asymptotes... (answered by jim_thompson5910)
Find the horizontal and vertical asymptotes of the following: A) f(x)= 2x+3/x+2 B)... (answered by Nate)
find the horizontal and vertical asymptotes for the following functions if none type none (answered by RAY100)
Count the number of horizontal and vertical asymptotes of f(x)=... (answered by Fombitz)
Find the equations for the horizontal and vertical asymptotes of the following. Type... (answered by stanbon)