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(a) If g(x) = 2x + 1 and h(x) = 4x2 + 4x + 7, find a function f such that f o g = h. (Think about what operations you would have to perform on the formula for to end up with the formula for h.)
(b) If f(x) = 3x + 5 and h(x) = 3x2 + 3x + 2, find a function g such that f o g = h. |
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