Given That $f ( x ) = x ^ { 2 } - 1$

Essay

Given that $f ( x ) = x ^ { 2 } - 1$ , $g ( x ) = \frac { 1 } { x + 3 }$ , and $h ( x ) = \sqrt { x }$ , find an equation for the following functions, evaluate them at x = 1 and find their domains.
(a) $( 4 f h ) ( x )$
(b) $\left( \frac { f } { g } \right) ( x )$