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Verified Answer :

HomertheGenius

f ( x ) = ( a x + 3 ) / ( x - b )
Vertical asymptote: at x = - 1 the equation goes to infinity.
x - b = 0
- 1 - b = 0
- b = 1
b = - 1
Horizontal asymptote: at y = 2
\(\lim_{x \to \infty} \frac{ax+3}{x-b}=2\)
It means that a = 2.


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