Which function below is the inverse of f(x) = The quantity of four x minus three, over two.?

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14-07-2017
Mathematics

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Which function below is the inverse of f(x) = The quantity of four x minus three, over two.?

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jdoe0001 jdoe0001 · Answer 1 · 2017-07-14T01:08:57+02:00

jdoe0001 jdoe0001

14-07-2017

[tex]\bf f(x)=y=\cfrac{4x-3}{2}\qquad inverse\implies x=\cfrac{4y-3}{2}\impliedby \begin{array}{llll} first\ switch\\ the\ variables\\ then\ solve\\ for\ "y" \end{array} \\\\\\ 2x=4y-3\implies 2x+3=4y\implies \cfrac{2x+3}{4}=y=f^{-1}(x)[/tex]

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