Find Gof and the Domain of Composite Function $f ( x ) = x ^ { 2 } + 2 , \quad g ( x ) = \sqrt { x }$

question 47

Multiple Choice

Find gof and the domain of composite function.
$f ( x ) = x ^ { 2 } + 2 , \quad g ( x ) = \sqrt { x }$

• A) \(( x + 2 ) ^ { 2 }\)
• Domain of gof: all real numbers \(x\)
• B) \(( x - 2 ) ^ { 2 }\)
• Domain of \(g \circ f\) : all real numbers \(x\)
• C) \(\sqrt { x ^ { 2 } + 2 }\)
• Domain of \(g \circ f\) : all real numbers \(x\)
• D) \(\sqrt { ( x - 2 ) ^ { 2 } }\)
• Domain of gof: all real numbers \(x\)
• E) \(\sqrt { ( x + 2 ) ^ { 2 } }\)
• Domain of \(g \circ f :\) all real numbers \(x\)

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