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

Multiple Choice

Determine whether $$( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$$
- $f ( x ) = \sqrt [ 5 ] { x - 6 } , g ( x ) = x ^ { 5 } + 6$

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