How long will it take for a combination of Finasteride and Minoxidil to work?

I would recommend you to use Minoxidil and Finasteride 1mg for 3 months and regarding to your results, if you are satisfied you can keep taking them for another 2 months. There should not be a problem to take the two tohether, although make sure you are not allergic for them at first. 

İt takes 4-6 months for finasteride and minoxidil combination to work . you should be patient and go on to treatment for a couple of months  without care of initial shedding . 

Most hair loss treatments take 6-9 months to see results. Shedding is normal in the first few months. About 25 % have a response to minoxidil. 80-90 % to finasteride (stopping loss or regrowth). Continue close follow up with your physician.

Initiating treatment can cause an initial shedding period, which should stabilize.  You typically need to continue hair therapy for 11-12 months before seeing significant results. 
Good luck!

minoxidil and finasteride can take 6-12 months before you see reasonable results so you must be patient and dedicated when you take it,