Question

find $f(f^{-1}(1))$.

$x$	$f(x)$
$9$	$-10$
$20$	$1$
$17$	$20$
$-13$	$4$

Explanation:

Step1: Recall the property of inverse functions

The property of inverse functions states that for a function \( f \) and its inverse \( f^{-1} \), the composition \( f(f^{-1}(x)) = x \) for all \( x \) in the domain of \( f^{-1} \).

Step2: Apply the property to the given problem

We are asked to find \( f(f^{-1}(1)) \). Using the property \( f(f^{-1}(x)) = x \), we substitute \( x = 1 \). So, \( f(f^{-1}(1)) = 1 \).

Answer:

\( 1 \)