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the function f(x) is invertible. find $f^{-1}(-83)$.\ \ | x | f(x) |\ |…

Question

the function f(x) is invertible. find $f^{-1}(-83)$.\
\

xf(x)\
------\
-8355\
-7315\
-63-83\
-5324\
-4397\

\
$f^{-1}(-83) = \square$\
\
submit

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 we need to find \( x \) where \( f(x)=-83 \).

Step2: Look at the table

From the table, when \( x = -63 \), \( f(x)=-83 \). So by the definition of inverse function, \( f^{-1}(-83)=-63 \).

Answer:

\( -63 \)