MAT 109 Lecture Notes - Lecture 13: Precalculus
Document Summary
Provide a generalization to each of the key terms listed in this section. 1 arithmetic combinations of functions f and g are both functions with overlapping domains. 1. 3 product (f + g) (x) = f (x) + g (x) (f g) (x) = f (x) g (x) (f g) (x) = f (x) g (x) 1. 4 quotient (cid:18) f g(cid:19) (x) = f (x) g (x) 2 composition of two functions f g = f composed with g (f g) (x) = f (g (x)) Domain of g : g (x) is in f s domain. 3. 4 g of g of x f g = f (g (x)) f f = f (f (x)) g f = g (f (x)) g g = g (g (x)) 4. 1 rewrite the composition, which can be like f g = f (g (x)). 4. 2 replace xs occurrence in the outside function with/into the inside function.
