let f: V--> W , g:U--> V be linear maps of finite dim vector spaces. let U_1= ker(fg) and V_1 = ker(f). show that g restricts to a linear map g_1 :U_1--> V_1 and that ker(g) = ker(g_1).

im not even sure hot to begin solving this question. ..

im wondering, why would the ker(f)= V_1 be the codomain where g_1 maps U_1 into.