Question: 16. Let f : A B and g : B C functions one by one. Prove g f is one to one. (g f)(x) =

16. Let f : A B and g : B C functions one by one. Prove g f is one to one. (g f)(x) = g(f(x))) 17. Let f : A B and g : B C. Prove that if f and g are over, then g f it's about 18. Let f : IR IR, f(x) = . Let A = {1, 2, 3, 1, 4, 9, 10} Find all the elements of (A) 2 1 19. Let f : IR IR, f(x) = Let the inverse relationship of f. Show that the composite 2 1 relation is not a function. 1 ((a, b) 1 if there exists c IR such that (a, c) f y (c, b) ) 1 20. Let f : IR IR, f(x) = 4x + 1 and let g : IR IR, g(x) = 3 x, find a function h : IR IR such that f h = g (That is, for all x IR, f(h(x)) = g(x)

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