in the function 1/ (1-x), the obvious value to remove from the domain of f is 1. this will be shown on the graph by the function being translated one unit to the positive direction of the x-axis. is this contradictory to what we are all taught that 'in the case of f(x+c) and c>0 then the graph will be of f(x) translated c units to the NEGATIVE direction of the x-axis'. ?????

would this be due to the negative nature of x in f(x)?