Determine the critical numbers of the given function and
classify each critical point as a relative maximum, a relative
minimum, or neither.
$\qquad g(x) = 4 - \frac{2}{x} + \frac{9}{x^2}$
x = 0, 9; (0, 4) neither; $\left(9, \frac{35}{9}\right)$ relative minimum
x = 9; $\left(9, \frac{35}{9}\right)$ relative maximum
x = 0, 9; (0, 4) neither; $\left(9, \frac{35}{9}\right)$ relative maximum
x = 9; $\left(9, \frac{35}{9}\right)$ relative minimum