Question

find $f^{-1}(-7)$.

$x$	$f(x)$
5	-2
-7	7
-17	0
-4	-7
7	-4

Explanation:

Step1: Recall the definition of inverse function

The inverse function \( f^{-1}(y) \) gives the value of \( x \) such that \( f(x)=y \). So, to find \( f^{-1}(-7) \), we need to find the \( x \) for which \( f(x) = -7 \).

Step2: Look at the table to find \( x \) where \( f(x)=-7 \)

From the table, when \( x = -4 \), \( f(x)=-7 \).

Answer:

\( -4 \)