If \(F\left(x+\dfrac1{x}\right)=x^2+\dfrac1{x^2},\) what is the value of \(F(4)+F(5).\)

[Vincen]

If \(F\left(x+\dfrac1{x}\right)=x^2+\dfrac1{x^2},\) what is the value of \(F(4)+F(5).\)

A. 9
B. 16
C. 25
D. 37
E. 41

Answer: D

Source: e-GMAT