A linear system at rest is subject to an input signal r(t)=1-e^-t. The response of the system for t>0 is given by c(t)=1-e^-2t. The transfer function of the system is:
(a) (s+2)/(s+1)
(b) (s+1)/(s+2)
(c) 2(s+1)/(s+2)
(d) (s+1)/2(s+2)
The question was asked during an interview for a job.
The doubt is from Transfer Functions in chapter Mathematical Models of Physical Systems of Control Systems