Question

Dadas as funções f(x) = \frac{x}{2} +2 e h(x) = \frac{1-x}{x} ,determine:

a)h(f(x))

Answer 1

$f(x) = \frac{x}{2} +2$

$h(x) = \frac{1-x}{x}$

$h[f(x)]=\frac{1- \frac{x}{2} -2}{ \frac{x}{2} +2} = \frac{ \frac{2-x-4}{2} }{ \frac{x+4}{2} } = \frac{-x-2}{x-4}= \frac{-(x+2)}{x-4}$