Find Gof and the Domain of Composite Function $f ( x ) = x ^ { 2 } + 5 , \quad g ( x ) = \sqrt { x }$

question 89

Multiple Choice

Find gof and the domain of composite function.
$f ( x ) = x ^ { 2 } + 5 , \quad g ( x ) = \sqrt { x }$

• A) \(\sqrt { ( x - 5 ) ^ { 5 } }\)
• Domain of \(g \circ f\) : all real numbers \(x\)
• B) \(( x + 5 ) ^ { 5 }\)
• Domain of \(g o f\) : all real numbers \(x\)
• C) \(\sqrt { ( x + 5 ) ^ { 5 } }\)
• Domain of \(g \circ f\) : all real numbers \(x\)
• D) \(( x - 5 ) ^ { 5 }\)
• Domain of \(g \circ f\) : all real numbers \(x\)
• E) \(\sqrt { x ^ { 2 } + 5 }\)
• Domain of \(g o f\) : all real numbers \(x\)

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