Squary Polynomial

Algebra Level 4

Let \(f(x)\) be a monic quartic polynomial such that ,

\(f(0.5)=\frac{25}{16}\)

\(f(0.\overline{3})=\frac{100}{81}\)

\(f(0.25)=\frac{289}{256}\)

\(f(0.2)=\frac{676}{625}\)

Evaluate : \(\phi \left (f(10)+f(9) \right )\)

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