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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.

 Nov 14, 2021
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Since  x = 1  is a vertical asymptote, the expression  x - 1  will be found in the denominator.

Since  x = 2  is a vertical asymptote, the expression  x - 2  will be found in the denominator.

 

Thus, the function is:  f(x)  =  (x + 4) / ( (x - 1)(x - 2) )

 

If you multiply out  (x - 1)(x - 2),  you will be able to find the values of a and b.

 Nov 14, 2021

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