Express the Given Function as a Composite of Functions F $f ( x ) = \frac { x } { x - 4 }$

question 41

Multiple Choice

Express the given function as a composite of functions f and g such that y = f(g(x) ) .
-Let $f ( x ) = \frac { x } { x - 4 }$ . Find a function $y = g ( x )$ so that $( f \circ g ) ( x ) = x$ .

• A) \(g ( x ) = \frac { x - 4 } { 4 }\)
• B) \(g ( x ) = x ( x - 4 )\)
• C) \(g ( x ) = \frac { 1 } { x - 4 }\)
• D) \(g ( x ) = \frac { 4 x } { x - 1 }\)

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