Determine if the statement is true or false, and justify your answer.

If T1(x) and T2(x) are onto linear transformations from Rn to Rm, then so is w(x) = T1(x) + T2(x)

True, by the definition of linear transformation.
True, by the definition of linear transformation and the definition of onto.
False. Consider T2(x) = T1(x), where T1 is onto.
False. Consider T2(x) =-T1(x), where T1 is one-to-one
False. Consider T2(x) =-T1(x), where T1 is onto