Functions — Types & Properties

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1.
The number of functions from a set with m elements to a set with n elements is:
2.
The number of bijections from a set with n elements to itself is:
3.
If f(x) = 2x + 3 and g(x) = x^2, then (f ∘ g)(x) is:
4.
If f(x) = 2x + 3 and g(x) = x^2, then (g ∘ f)(x) is:
5.
A function f : A -> B is injective (one-to-one) if:

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