THETA DIVISION

Question 109

Function Analysis★★★Question Bank

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Question

Don't worry,

(h,k)

is back again! Consider

f(x)=\frac{4x-8}{x^2-4}

and

g(x)=f(x+h)-k

where

h,k\in\mathbb N

. If

g(x)

has a vertical asymptote at

x=-8

and horizontal asymptote at

y=-1

, what is the value of

h+k

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