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Find the inverse y=3x+2

Find the inverse y=3x+2-example-1

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y=3x+2\\\\\text{replace x with y and y with x}\\\\3y+2=x\\\\\text{solve for y}\\\\3y+2=x\ \ \ \ \ |-2\\\\3y=x-2\ \ \ \ \ |:3\\\\\boxed{y=(x-2)/(3)}

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