1. 1 Operations on Functions & Composite Functions (2.5) Form the sum, difference, product, and quotient of two functions. Form the composite function and find its domain. Find the components of a composite function.

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6. 6 Let f and g be two functions defined as fxx()  3 and gxx()  2 16 Find the following, and determine the domain of each.

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9. 9 Given two functionsf andg, the composite function, denoted by fg  (read as “f composed with g”), is defined by The domain of fg  is the set of all numbers x in the domain of g such that g( x) is in the domain off.

10. 10 Domain of g Range of gDomain of f x x g(x)g(x) g(x)g(x) f (g(x)) Range of f

11. 11 Suppose that fxx()  2 1 and gxx()  3 Find  fg  2

12. 12 Suppose fxx()  and gx x ()   1 2. Find fg .

13. 13 Suppose fxx()  and gx x ()   1 2. Find the domain of fg .