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find $f^{-1}(-8)$.\ \ | $x$ | $f(x)$ |\ | --- | --- |\ | $-4$ | $6$ |\ …

Question

find $f^{-1}(-8)$.\
\

$x$$f(x)$\
------\
$-4$$6$\
$-8$$7$\
$1$$-9$\
$-11$$15$\
$15$$-8$

Explanation:

Step1: Recall inverse function definition

The inverse function \( f^{-1}(y) \) gives the \( x \) such that \( f(x) = y \). So we need to find \( x \) where \( f(x) = -8 \).

Step2: Look at the table

Check the table for the row where \( f(x) = -8 \). From the table, when \( x = 15 \), \( f(x) = -8 \).

Answer:

15