Letf: [0, ∞)→ [0, ∞) and g: [0, ∞) → [0, ∞) be non-increasing and non-decreasing functions respectively, and h(x) = g(f(x)). If h(0) = 0. Then show h(x) is always identically zero.

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A: Range :- set of all output values

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A: Given, f(x)= 3x(x-1)2 be a function in [1,∞). We need to find the solution to the equation f(x)= 78

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A: topic - functions

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A: D. If swimming at New Jersey shore is allowed, then sharks have not been spotted near the shore.

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A: NOTE: Refresh your page if you can't see any equations. . take derivative here derivative of…

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