ALPHA DIVISION

Question 104

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Question

The function f(x) is a rational function, and the function g(x) is a cubic polynomial such that

f(x)=\dfrac{g(x)}{x^2-1}

. As

x\to 1, f(x)\to 5

. As

x\to

-1,

f(x)\to 9

. Find the value of g(0).

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ALPHA DIVISION

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The function f(x) is a rational function, and the function g(x) is a cubic polynomial such that

f(x)=\dfrac{g(x)}{x^2-1}

. As

x\to 1, f(x)\to 5

. As

x\to

-1,

f(x)\to 9

. Find the value of g(0).