Question

Se f(x)= 2/raiz sétima de x³ determine quando x = 2

Answer 1

Olá Mariana, basta substituir. Veja:

$\\ \mathsf{f(x) = \frac{2}{\sqrt[7]{\mathsf{x^3}}}} \\\\\\ \mathsf{f(x) = \frac{2}{\sqrt[7]{\mathsf{2^3}}}} \\\\\\ \mathsf{f(x) = \frac{2}{2^{\frac{7}{3}}}} \\\\\\ \mathsf{f(x) = 2 \cdot 2^{- \frac{7}{3}}} \\\\\\ \mathsf{f(x) = 2^{1 - \frac{7}{3}}} \\\\\\ \boxed{\mathsf{f(x) = 2^{- \frac{4}{3}}}}$