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Exponential Function From a Constant Ratio

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Suppose the functions f and g are related by the equation g(x) = f(x) - 5, and that g(x+2)/g(x) = 4 for all x. Which of the following could define f(x)?

A

f(x) = 7·e^x + 5

B

f(x) = 7·x^2 + 5

C

f(x) = 7·2^x + 5

D

f(x) = 7·4^x - 5

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