Question

Dadas as funções:
$f(x) = 5x - 8$
$g(x) = {x}^{2} + 4$
$h(x) = \frac{2}{x - 3}$
determine:
a) h(h(x))


obs: com cálculo

Answer 1

h(x) = 2/(x - 3)

h(h(x)) = 2/(2/(x - 3) - 3)

= 2/(2/(x - 3) - 3*(x - 3)/(x - 3)

= 2/(2 - 3*(x - 3))/(x - 3)

= 2*(x - 3)/(2 - 3x + 9)

= (2x - 6)/(11 - 3x)