Question

Seja f: IR* › IR a função dada por f(x)= (x^2+1/x) .Qual é o valor de f(3) + f(1/3) ?

Answer 1

Encontrando f(3): $f(3)=\dfrac{3^2+1}{3}=\dfrac{10}{3}$ Encontrando f(1/3): $f(\dfrac{1}{3})=\dfrac{(\dfrac{1}{3})^2+1}{\dfrac{1}{3}}=\dfrac{\dfrac{1}{9}+1}{\dfrac{1}{3}}$ $f(\dfrac{1}{3})=\dfrac{\dfrac{10}{9}}{\dfrac{1}{3}}=\dfrac{10}{9}\times\dfrac{3}{1}=\dfrac{10}{3}$ Então, calculando a soma: $f(3)+f(\dfrac{1}{3})=\dfrac{10}{3}+\dfrac{10}{3}=\boxed{\dfrac{20}{3}}$