I'm supposed to approximate $f^{-1}(-1)$ correct to $1$ decimal place from this graph of $f$. From the graph it's obvious that $f(-1)=-1$ which would imply $f^{-1}(-1)=-1$. However, the question asks me to "approximate" $f^{-1}(-1)$ which implies that I'm doing something wrong but I can't see what I'm doing wrong.
2026-04-02 06:24:36.1775111076
Approximating $f^{-1}(-1)$
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You are not doing anything wrong. They could be using "approximate" carelessly, or (more likely) they are including that word because any such visual estimation from observing a graph is inherently approximate. For example, can you really distinguish this graph from a similar one in which $f^{-1}(-1) = -1.00005$?