which is the inverse of the function y= 1/3x - 5/3
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If by inverse you mean x in terms of y, then y+5/3=1/3x. Multiply through by 3: 3y+5=x so x=3y+5. However, I've assumed 1/3x means "one third of x". If it means 1 divided by 3x, 1/x=3y+5 or x=1/(3y+5).

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