Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.1 - The Algebra of Functions - Exercise Set: 46

Answer

First one : (f x g) (x) = f(g(x). You use g(x) and substitute it in to f(x). For example if g(x) is 4, and f(x) is 2x, then f(x) is 8. Second : fg(x) is the multiplication of the functions of f(x) and g(x) to create an entirely new function. Ex. F(x) is 2x and g(x) is 3x, thus gf(x) is 6$x^{2}$

Work Step by Step

First one : (f x g) (x) = f(g(x). You use g(x) and substitute it in to f(x). For example if g(x) is 4, and f(x) is 2x, then f(x) is 8. Second : fg(x) is the multiplication of the functions of f(x) and g(x) to create an entirely new function. Ex. F(x) is 2x and g(x) is 3x, thus gf(x) is 6$x^{2}$
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