Determine Whether $$( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$$

Multiple Choice

Determine whether $$( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$$
- $f ( x ) = x ^ { 2 } + 3 , g ( x ) = \sqrt { x } - 3$

A) Yes, no
B) Yes, yes
C) No, yes
D) No, no