Question

given that $f(x)$ is a one-to-one function and $f(3) = -4$, $f(-1) = 6$, and $f(2) = 3$, find $f^{-1}(3)$. explain in 1 or 2 sentences how you know what the answer is. (10 points)
○ 6
○ -1
○ -4
○ 2

Explanation:

For a one-to-one function \(f(x)\), the inverse function \(f^{-1}(y)\) returns the value \(x\) such that \(f(x) = y\). Here, we need \(f^{-1}(3)\), so we find the \(x\) where \(f(x)=3\), which is given as \(x=2\).

Answer:

D. 2