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If f(x) = (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.

 May 5, 2022
 #1
avatar+122385 
+1

In this problem, any x value that makes the denominator =  0   will produce an asymptote at that x value

 

We can write the denominator as

 

(x - 1) ( x - 2)   =

 

x^2  - 3x  +  2

 

a  = -3      b =  2        their sum is  -1

 

 

 

 

cool cool cool   

 May 5, 2022

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