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WHY do we SWAP x and y when finding INVERSE FUNCTIONS??
TL;DW: Swapping x and y is a convention, not a mathematical necessity. Whether you write f⁻¹(y) = (y + 4)/3 or f⁻¹(x) = (x + 4)/3, the OPERATIONS are identical: Add 4, then divide by 3. We swap variables primarily for two reasons: social convention and the visual reflection property. WHY WE SWAP VARIABLES: CONVENTION: In mathematics, we ...
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