Which Statement(s)verify That $f ( x ) = \frac { 4 } { x + 1 }$

question 103

Multiple Choice

Which statement(s) verify that $f ( x ) = \frac { 4 } { x + 1 }$ and $g ( x ) = \frac { 4 - x } { x }$ are inverse?

• A) \(f ( x ) + g ( x ) = \frac { 4 } { x + 1 } + \frac { 4 - x } { x } = 0\)
• B) \(\frac { f ( x ) } { g ( x ) } = \frac { \frac { 4 } { x + 1 } } { \frac { 4 - x } { x } } = 1\)
• C) \(f ( g ( x ) ) = \frac { 4 } { \frac { 4 - x } { x } + 1 } = x , g ( f ( x ) ) = \frac { 4 - \frac { 4 } { x + 1 } } { \frac { 4 } { x + 1 } } = x\)
• D) \(f ( x ) + g ( x ) = \frac { 4 } { x + 1 } + \frac { 4 - x } { x } = 1\)
• E) \(f ( g ( x ) ) = \frac { 4 } { \frac { 4 - x } { x } + 1 } = 1 ; g ( f ( x ) ) = \frac { \frac { 4 } { x + 1 } } { \frac { 4 } { x + 1 } } = 1\)

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