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Unformatted text preview: A: x3(x2 2) B: (x2 2)3 C: (x3)2 2 C: (x2 2)3(x) Example From tables f(g(2))= A: 2 B: 1 C: 0 D: 3 g(g(1)) = A: 2 B: 1 C: 4 D: 0 x f(x) g(x) 2 3 1 1 2 2 1 3 3 Example From graphs f(g(2))= A: 3 B: 2 C: 4 D: does not exist g(g(1)) = A: 1 B: 5 C: 4 D: does not exist Examples f(x) = 2x 3 and g(x) = (x+3)/2 f(g(x)) = g(f(x)) = f(x) = x2 and g(x) = sqrt (x) f(g(x)) = g(f(x)) = f(x) = 10x and g(x) = log10x f(g(x)) = g(f(x)) = Inverse Functions These last three were examples of inverse functions Whenever f(g(x))=x AND g(f(x))=x for all x The functions are inverses of each other. We write g(x) = f1(x) and f(x) = g1(x) Here the inverse is the functional inverse (not the multiplicative inverse) Assignment 8.8 8.8: p. 533: Algebra Aerobics: 13 p. 543: Algebra Aerobics: 13 p. 543544: Exercises: 1, 3 Due May 9, 2011...
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 Spring '11

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