Hello, Im having a bit of trouble with this one question, a little help would be great. this is a mapping question involving surjectivity. S: A --> B T: B --> C T*: B --> C satisfies TS = T*S And S is surjective Show that T = T* Now i know the defenition of surjective. Im just having trouble showing what i have to show let x be in A and y be in B There exists an x in A, for every y in B such that S(x) = y --thats surjective-- but where do i go now??