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For each of the following, give an example of a function g and a function f...

For each of the following, give an example of a function g and a function f that satisfy the stated conditions. Or state that such an example cannot exist. Be sure to clearly state the domain and codomain for each function.
(a)The function g is a surjection, but the function fog is not a surjection.

(b) The function g is not an injection, but the function fog is an injection.
(c)The function g is an injection, but the function fog is not an injection.

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