The Hidden Function

Algebra Level 3

\[\begin{cases} g(x) = x^2 - 11x + 30 \\ g(f(x)) = x^4 - 14x^3 + 62x^2 - 91x + 42 \end{cases}\]

Let \(g\) and \(f\) be the monic polynomial functions that satisfy the system above. What is the value of \(f(7)\)?

×

Problem Loading...

Note Loading...

Set Loading...