We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
65
1
avatar

\(\text{If $f(x)=\frac{x+4}{x^2+ax+b}$, and $f(x)$ has two vertical asymptotes at $x=1$ and $x=-2$, find the sum of $a$ and $b$. }\)

 

Thanks in advance!laugh

 Jul 15, 2019
 #1
avatar+102386 
+2

                          x + 4    

f(x)    =      ___________

                   x^2 + ax + b

 

If we have vertical asymptotes  at  x  = 1  and  x  = -2  then the denominator  is  ( x - 1) ( x + 2)

 

So.....the denominator  becomes  x^2 - 1x + 2x - 2  =   x^2 + 1x  - 2

 

So     a  =  1   and b =  - 2

 

And their sum is   - 1

 

 

cool cool cool

 Jul 15, 2019

16 Online Users

avatar