THETA DIVISION

Question 107

Function Analysis★★Question Bank

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Question

The following questions (#18-19) consider the function

h(x)=\frac{ax^2+bx+c}{x^2-2x-35},\qquad a,b,c\in\mathbb Z.

If it is known that

h(x)

has no vertical asymptotes, what is the value of

h(x)

on its domain?

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