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

question 91

Multiple Choice

Show that $f$ and $g$ are functions by using the definition of inverse functions. $f ( x ) = 5 x + 1 , g ( x ) = \frac { x - 1 } { 5 }$

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