QUESTION IMAGE
Question
the function f(x) is invertible. find $f^{-1}(-83)$.\
\
| x | f(x) | \ |
| --- | --- | \ |
| -83 | 55 | \ |
| -73 | 15 | \ |
| -63 | -83 | \ |
| -53 | 24 | \ |
| -43 | 97 | \ |
\
$f^{-1}(-83) = \square$\
\
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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, \( f^{-1}(-83)=-63 \).
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\( -63 \)