I need to find roots of a piecewise function, where the piece itself has an exponential, e.g.
45*Exp[-0.1*x]+3.5*x==44.296, for x>0.1
I tried Solve, but it does not work with Piecewise function, I also tried FindRoot, it needs a initial search point and I have to verify whether the root find is in the range. Is there any simple function that capable of doing this? I am using Version 5.1. I am not sure whether Piecewise (exponential) function has been integrated into Solve in 5.2