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For the function f(x)=x5+1f(x)={x}^5+1f(x)=x5+1, find the number of real values of xxx such that f(x)=f−1(x)f(x)={f}^{-1}(x)f(x)=f−1(x).
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For the function f(x)=x5+1, find the number of real values of x such that f(x)=f−1(x).