Question

seja f: R* => a função dada por f(x) = x2+1/x. qual é o valor de f(3) + f (1/3)

Answer 1

$f(3)= \frac{3^2+1}{3} \\ \\ f(3)= \frac{9+1}{3} \\ \\ f(3)= \frac{10}{3}$



$f(\frac{1}{3})= \frac{(\frac{1}{3})^2+1}{\frac{1}{3}} \\ \\ f(\frac{1}{3}) = \frac{\frac{1}{9}+1}{\frac{1}{3}} \\ \\ f(\frac{1}{3}) = \frac{\frac{10}{9}}{\frac{1}{3}} \\ \\ f(\frac{1}{3}) = \frac{10}{9}* \frac{3}{1} \\ \\ f(\frac{1}{3}) = \frac{10}{3}$


$f(3) + f(\frac{1}{3}) = \\ \\ \frac{10}{3} + \frac{10}{3} = \\ \\ \frac{20}{3}$