10. (a) Let f: X→Y and g: Y→ Z be functions. Show that go f: X→ Z is a function too. (b) If f: X→Y and g: Y→ Z are one-to-one functions, is g of one-to-one? (c) If f: X→Y and g: Y→ Z are functions and go f is one-to-one, must g be to-one? Prove or give a counterexample. one- (d) If f:X→Y and g: Y→ Z are functions and g of is onto, must g be onto? Prove or give a counterexample.

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