If f(x)=log[1+x/1-x], then show that f(x)+f(y)=f(x+y/1+xy). Share with your friends Share 11 Neha Sethi answered this Dear student fx=log1+x1-xso, fy=log1+y1-yConsider, LHS=fx+fy=log1+x1-x+log1+y1-y=log1+x-log1-x+log1+y-log1-y logmn=logm-logn=log1+x+log(1+y)-log1-x+log1-y=log1+x1+y-log1-x1-y=log1+x+y+xy-log1-y-x+xy=log1+x+y+xy1-y-x+xyRHS= fx+y1+xy=log1+x+y1+xy1-x+y1+xy=log1+xy+x+y1+xy1+xy-x-y1+xy=log1+xy+x+y1+xy-x-ySo, LHS=RHSHence proved Regards 31 View Full Answer