Question

seja f: R* -> R a função definida por f(x) = (x²+1)/x qual o valor de f(2) + f(1/2)?

Answer 1

Vamos calcular f(2) e f(1/2) e depois realizar a soma

f(2) = (2² + 1) / 2 = (4 + 1) / 2 = 5/2

f(1/2) = ((1/2)² + 1) / 2 = (1/4 + 1) / 2 = ((1+4) / 4) / 2 = (5/4) / 2 = 5/4 * 1/2 = 5/8

f(2) + f(1/2) = 5/2 + 5/8 = (20 + 5) / 8 = 25/8

Portanto, a soma solicitada vale 25/8.