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Given that f(x) (12:2) 1:3 (:2) at2 (4:0) x 660, shown as pink, and 30:] 2 1.82:, shown as green. Find the function h(x) that

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Given that f(x) (12:2) 1:3 (:2) at2 (4:0) x 660, shown as pink, and 30:] 2 1.82:, shown as green. Find the function h(x) that has the shape as shown in yellow. The domain of h(x) is 20 S x g 0. h(20) 2 f(20).h'(20) 2 f'(20),h(0) 2 O,h'(0) 2 g'(0) Note: h(x) can be any types of function except for polynomials.l .10 30 20 \"/ -20

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