Find the Inverse Function Informally $f ( x ) = 2 x$

question 63

Multiple Choice

Find the inverse function informally $f ( x ) = 2 x$ . Verify that $f \left( f ^ { - 1 } ( x ) \right) = x$ and $f ^ { - 1 } ( f ( x ) ) = x$

• A) \(f ^ { - 1 } ( x ) = \frac { x } { 2 }\) , \(f \left( f ^ { - 1 } ( x ) \right) = x ^ { - 1 }\) , \(f ^ { - 1 } ( f ( x ) ) = x\)
• B) \(f ^ { - 1 } ( x ) = \frac { x } { 2 }\) , \(f \left( f ^ { - 1 } ( x ) \right) = 2 x\) , \(f ^ { - 1 } ( f ( x ) ) = 3 x\)
• C) \(f ^ { - 1 } ( x ) = \frac { x } { 2 }\) , \(f \left( f ^ { - 1 } ( x ) \right) = x\) , \(f ^ { - 1 } ( f ( x ) ) = 2 x\)
• D) \(f ^ { - 1 } ( x ) = \frac { x } { 2 }\) , \(f \left( f ^ { - 1 } ( x ) \right) = 3 x\) , \(f ^ { - 1 } ( f ( x ) ) = x\)
• E) \(f ^ { - 1 } ( x ) = \frac { x } { 2 }\) , \(f \left( f ^ { - 1 } ( x ) \right) = x\) , \(f ^ { - 1 } ( f ( x ) ) = x\)

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