Functions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Let ^ x ^ be defined such that ^ x ^ = x +

\frac{1}{x}

. The value of ^ 6 ^ + ^ 4 ^ + ^ 2 ^ is

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^ x ^ = x + $\frac{1}{x}$ .

^ 6 ^ + ^ 4 ^ + ^ 2 ^

= 6 + $\frac{1}{6}$ + 4 + $\frac{1}{4}$ + 2 + $\frac{1}{2}$

6 + 4 + 2 + $\frac{1}{6}$ + $\frac{1}{4}$ + $\frac{1}{2}$

12 + $\frac{2 + 3 + 6}{12}$

12 $\frac{11}{12}$