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Combining Functions
0. Functions / Combining Functions / Problem 4
Problem 4

Consider the function g(x)=bx(2x)g(x)=bx(2-x), where bb is a real number and 1b31\le b\le3. If we define a new function p(x)=g(g(x))p(x) = g(g(x)), what is the degree of p(x)p(x)?

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