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

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Thu Dec 16, 2021 11:41 am

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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

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Source: Beat The GMAT — Problem Solving | Thu Dec 16, 2021 11:41 am

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