Given the Following Function $h ( x )$ , Find Two Functions

question 26

Multiple Choice

Given the following function, $h ( x )$ , find two functions $f$ and $g$ such that $( f \circ g ) ( x ) = h ( x )$ .
$h ( x ) = \sqrt [ 3 ] { x ^ { 2 } - 11 }$

• A) \(f ( x ) = \sqrt [ 3 ] { x ^ { 2 } } , g ( x ) = - 11\)
• B) \(f ( x ) = \sqrt [ 3 ] { x ^ { 2 } } , g ( x ) = x - 11\)
• C) \(f ( x ) = \sqrt [ 3 ] { x } , g ( x ) = x - 11\)
• D) \(f ( x ) = \sqrt [ 3 ] { x - 11 } , g ( x ) = x ^ { 2 }\)
• E) \(f ( x ) = \sqrt [ 3 ] { x - 11 } , \quad g ( x ) = x + 11\)

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