Section 5.1 Composite Functions.

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Section 5.1 Composite Functions

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Practice # 11 f(x) = 2x; g(x) = 3x2 + 1 f(g(4)) g(f(2)) c) f(f(1)) d) g(g(0)) Copyright © 2013 Pearson Education, Inc. All rights reserved

The domain of g is all real numbers as is the domain of the composite function, so the domain of f ◦ g is the set of all real numbers. Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Practice # 31 Find the composite function and state the domain. f(x) = 3x + 1; g(x) = x2 f(g(x)) b) g(f(x) Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved