The functions f, g and f ◦ g are illustrations of relations and functions
If f and f ◦ g are onto, it does not necessarily follow that g is onto
How to complete the statement?
The onto functions are given as:
Consider the functions f and g.
The function f is an onto function, if for every element of function f, there is at least one matching element with function g.
The above definition implies that the following definition is not a condition for the two functions to be an onto function
If for every element of function g, there is at least one matching element with function f.
Hence, it does not necessarily follow that function g is onto
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