A pressure gauge that can be modeled as an LTI system has a time response to a unit step input given by y(t) = (1 - e^-t -te^-t)u(t). From the step response determine the transfer function. For an unknown input x(t), the output is observed was y(t) = (2 - 3e^-t + e^-3t)u(t). From this observed measurement, determine the true pressure x(t) that was applied to the gauge.