Functions 2

Algebra Level 4

Given that \(h(x) = f(g(x)) = 1-x\) and \( -1 \leq x\leq 1\). And \(p(x) = f(f(x)) = 1 + \sin(f(x)) \) for all real \(x\). Find the range of \(f(h(x))\).

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