Let f: X --> Y and g, h: Y --> Z be functions. Prove or disprove:  (a) If g of f is 1-1, then f is 1-1.  (b) If g of f is 1-1, then f is onto. (c) If g is 1-1, then g of f is 1-1.  (d) If g of f = h of f, and f is onto, then g = h.

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A: Injective and surjective function

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.