Show That $f$ And $g$ Are Functions by Using the Definition of Inverse Functions

question 93

Multiple Choice

Show that $f$ and $g$ are functions by using the definition of inverse functions. $f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { 1 } { x }$

• A) \(f ( g ( x ) ) = x , g ( f ( x ) ) = x - 1\)
• B) \(f ( g ( x ) ) = x - 1 , g ( f ( x ) ) = x\)
• C) \(f ( g ( x ) ) = x , g ( f ( x ) ) = x\)
• D) \(f ( g ( x ) ) = x , g ( f ( x ) ) = x ^ { - 1 }\)
• E) \(f ( g ( x ) ) = x ^ { - 1 } , g ( f ( x ) ) = x\)

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