Which Statement(s)verify That $f ( x ) = \sqrt [ 7 ] { x + 4 }$

question 25

Multiple Choice

Which statement(s) verify that $f ( x ) = \sqrt [ 7 ] { x + 4 }$ and $g ( x ) = x ^ { 2 } - 4$ are inverse?

• A) \(f ( g ( x ) ) = \sqrt [ 7 ] { x ^ { 7 } - 4 + 4 } = x ; g ( f ( x ) ) = ( \sqrt [ 7 ] { x } ) ^ { 7 } + 4 - 4 = x\)
• B) \(f ( x ) \cdot g ( x ) = \sqrt [ 7 ] { x + 4 } \cdot \left( x ^ { 7 } - 4 \right) = x\)
• C) \(f ( g ( x ) ) = \sqrt [ 7 ] { x ^ { 7 } } - 4 + 4 = x ; g ( f ( x ) ) = ( \sqrt [ 7 ] { x + 4 } ) ^ { 7 } - 4 = x\)
• D) \(f ( g ( x ) ) = \sqrt [ 7 ] { x ^ { 7 } - 4 + 4 } = x ; g ( f ( x ) ) = ( \sqrt [ 7 ] { x + 4 } ) ^ { 7 } - 4 = x\)
• E) \(\frac { f ( x ) } { g ( x ) } = \frac { \sqrt [ 7 ] { x + 4 } } { x ^ { 7 } - b } = - 1\)

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