Let f:X Y and g: Y Z be two functions. (a) Is it possible that f is not onto and g o f is onto? Justify your answer. If the answer is 'yes', give a specific example for fand g (b) Is it possible that g is not onto and g o f is onto? Justify your answer. If the answer is 'yes', give a specific example for fand g. Is it possible that f is not one-to-one and g o f is one-to-one? Justify your answer. If the answer is yes', give a specific example forf and g. d) Is it possible that g is not one-to-one and g o f is one-to-one? Justify your answer. If the answer is "yes", give a specific example for f and g