Question

Considere as funções f e g definidas por f(x)= 1-x²/x e g(x)= raíz de x. Determine o valor de f(-2)/g(4)

Answer 1

$f(x) = \frac{1 - x^2}{x}\\g(x) = \sqrt{x} \\\\f(-2) = \frac{1 - (-2)^2}{-2} = \frac{1 - 4}{-2}= \frac{-3}{-2} = - \frac{3}{2} \\g(4) = \sqrt{4} = 2\\\\ \frac{f(-2)}{g(4)} = \frac{ -\frac{3}{2}} {2} = \frac{ -\frac{3}{2} }{ \frac{2}{1} } = -\frac{3}{2}. \frac{1}{2} = -\frac{3.1}{2.2} = -\frac{3}{4}\\\\ \frac{f(-2)}{g(4)} = -\frac{3}{4}$

bons estudos!!