Let \( f:[3, \infty) \rightarrow[1, \infty) \) be defined by \( f(x)=\pi^{x(x-3)} \). Number of ...

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Let \( f:[3, \infty) \rightarrow[1, \infty) \) be defined by \( f(x)=\pi^{x(x-3)} \). Number of solutions of \( f(x)=f^{-1}(x) \) is
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