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) $f ^ { - 1 } ( x ) = x + 5$ , $f \left( f ^ { - 1 } ( x ) \right) = x$ , $f ^ { - 1 } ( f ( x ) ) = x ^ { - 1 }$

Question

Quizplus · Accepted Answer

The inverse function of $f(x) = x - 5$ is $f^{-1}(x) = x + 5$ because applying $f^{-1}$ to $f(x)$ or vice versa returns the original input $x$, satisfying the conditions for inverse functions.

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

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