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f^-1(x) = ...
4x+7 / 3x+5 = y
4x+7 = y(3x+5)
4x+7 = 3xy + 5y
4x - 3xy = 5y -7
x ( 4-3y) = (5y - 7)
x = (5y-7) / (4-3y)
f^-1(x) = (5x-7) / (4-3x