Question
Show that $f(x)=\left(x^{2}+1\right)^{-1}$ is one-to-one on $(-\infty, 0],$ and find a formula for $f^{-1}$ for this domain of $f .$
Step 1
This can be done by graphing the function and observing that it passes the horizontal line test, meaning that each value of $f(x)$ corresponds to exactly one value of $x$ in the given domain. Show more…
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