Define a function g(x) of a random 1; if x2x, 0; otherwise variables by g(x) = %3D Where x, is a real number – o< X, <∞ Show that E [g (X)] = 1-F, (x,) >

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A: The composite function f∘fx is consist of two functions. Both functions are fx. We can also write…

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A: We will find f^-1(x) first. Plug f(x)=y Then switch x and y Then solve for y. Put y=f^-1(x)

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Q: Graph

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A: In this question , we can make the graph of f(x).Firstly we make the graph of f(x) when x≥2. After…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…