shaloveywrighty4179 shaloveywrighty4179

04-09-2018
Mathematics

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Consider the functions f(x)=(ax^2-b)/(x^2-4) and g(x)=(x^2-cx+d). if the limit as x approaches 3 equals 6, what is the relationship between a and b?

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konrad509 konrad509

04-09-2018

[tex] 6=\dfrac{a\cdot3^2-b}{3^2-4}\\\\ 6=\dfrac{9a-b}{5}\\\\\ 9a-b=30\\\\ \boxed{b=9a-30} [/tex]

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