Ononot — Let f: \mathbb{R} \to \mathbb{R} be defined by f(x) = x^2 -

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Set Theorymedium

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Let $f: \mathbb{R} \to \mathbb{R}$ be defined by $f(x) = x^2 - 2x$ . For the intervals $A = [-1, 3]$ and $B = [0, 4]$ , find the set $f^{-1}(A) \cap f^{-1}(B)$ , where $f^{-1}(S)$ represents the preimage of $S$ under $f$ .