Given that $f ( x ) = x ^ { 2 } + 2$ , and $g ( x ) = \sqrt { x }$ , find $( f \circ g ) ( x )$ and $( g \circ f ) ( x )$ , and their domains.

Name: Given that $f ( x ) = x ^ { 2 } + 2$ , and $g ( x ) = \sqrt { x }$ , find $( f \circ g ) ( x )$ and $( g \circ f ) ( x )$ , and their domains.
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The Answer of Given that $f ( x ) = x ^ { 2 } + 2$ , and $g ( x ) = \sqrt { x }$ , find $( f \circ g ) ( x )$ and $( g \circ f ) ( x )$ , and their domains.

Given That f(x)=x2+2f ( x ) = x ^ { 2 } + 2f(x)=x2+2

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