Find the inverse function of f(x) = (5x-2)/(3x) if it exists.

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To find the inverse, look at the fcn as y = (5x-2)/(3x) and exchange the x and y to get x = (5y-2)/(3y) and solve for y: => 3xy = 5y-2 => 3xy-5y = -2 => y(3x-5) = -2 => y = (-2)/(3x-5) is your inverse fcn Plug a couple values into one and send the results through the inverse to make sure it checks out.