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find $f^{-1}(-7)$.\ \ | $x$ | $f(x)$ |\ | --- | --- |\ | $6$ | $-5$ |\ …

Question

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

$x$$f(x)$\
------\
$6$$-5$\
$5$$-2$\
$-7$$7$\
$-17$$0$\
$-4$$-7$\
$7$$-4$\

\
answer attempt 1 out of 3\
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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 \( f(x) = -7 \).

Step2: Look at the table for \( f(x) = -7 \)

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

Answer:

\( -4 \)