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The question of why y and x should better be switched in doing an inverse function such as:
f(x) = y = 2x+3
and its inverse
f-1(y)= x =(y-3)/2,
we may consider that nstead of switching x & y , we could hang on to our inverse function as is and apply coordinate pairs with y as our independent and x as our dependent variables…
...& at the time of plotting our coordinate pairs to sketch the graph of our inverse function , it’d be reasonable to treat the x-axis as y-axis , our new independent variable, and y-axis as x-axis, the new dependent variable.
Ben Hidaji
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