A Function Is Given $G ( x ) = \frac { 3 } { x ^ { 2 } + x + 1 }$

Essay

A function is given.
(a) Find all the local maximum and minimum values of the function and the value of x at which each occurs.
(b) Find the intervals on which the function is increasing and on which the function is decreasing. State all answers correct to two decimal places.
$G ( x ) = \frac { 3 } { x ^ { 2 } + x + 1 }$