Find the Inverse Function Informally $f ( x ) = x - 5$

question 44

Multiple Choice

Find the inverse function informally $f ( x ) = x - 5$ . Verify that $f \left( f ^ { - 1 } ( x ) \right) = x$ and $f ^ { - 1 } ( f ( x ) ) = x$

• A) \(f ^ { - 1 } ( x ) = x + 1\) , \(f \left( f ^ { - 1 } ( x ) \right) = x\) , \(f ^ { - 1 } ( f ( x ) ) = x\)
• B) \(f ^ { - 1 } ( x ) = x + 5\) , \(f \left( f ^ { - 1 } ( x ) \right) = x\) , \(f ^ { - 1 } ( f ( x ) ) = x\)
• C) \(f ^ { - 1 } ( x ) = x + 5\) , \(f \left( f ^ { - 1 } ( x ) \right) = x\) , \(f ^ { - 1 } ( f ( x ) ) = x - 1\)
• D) \(f ^ { - 1 } ( x ) = x + 5\) , \(f \left( f ^ { - 1 } ( x ) \right) = x + 1\) , \(f ^ { - 1 } ( f ( x ) ) = x\)
• E) \(f ^ { - 1 } ( x ) = x + 5\) , \(f \left( f ^ { - 1 } ( x ) \right) = x\) , \(f ^ { - 1 } ( f ( x ) ) = x ^ { - 1 }\)

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