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Question Number 159300 by saly last updated on 15/Nov/21

Answered by Derrick last updated on 15/Nov/21

$$preve$$$$a)montronspardoubleinclusion$$$$soitx$$$$x\in f^{-1}(A\cup B)\iff f\left(x\right)\in (A\cup B)$$$$\iff f\left(x\right)\in Aouf\left(x\right)\in B$$$$\iff x\in f^{-1}\left(A\right)oux\in f^{-1}\left(B\right)$$$$\iff x\in (f^{-1}\left(A\right)\cup f^{-1}\left(B\right)$$$$$$

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