Answer:
g(x) = a(3^x) - b
g(2) = 9a - b = 0
g(3) = 27a - b = 2
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18a = 2
a = 1/9, b = 1
g(x) = (1/9)(3^x) - 1
g(x) = (3^(x - 2)) - 1
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