A27 3 powerfxns notes
- 1. Algebra 2 7.3 Power Functions and Function Operations What is a function? The sum of two functions is a __________________________________... What type of functions have we studied? Power Functions Have the form: ___________________________________ • b is the _____________________________ • If b is an integer, this is a ____________________________ function. EX1: For f (x) = 2 ξ1/2 and g(x) = −6 ξ1/2 . a) What is the domain of f(x) and g(x)? b) Find f (x) + γ ( ξ) . What is the domain? c) Find f (x) − γ ( ξ) . What is the domain? EX2: For f (x) = 3ξ and g(x) = ξ1/ 4 . a) Find the product. What is the domain? b) Find the quotient. What is the domain?
- 2. Composition of Functions One function g(x) Composing functions g(x) f(x) Composition of functions creates ____________________________________________. Composition of functions can be written: __________________ • This is read “f of g of x”. • It’s also written ( f og )( ξ) EX3: Let f (x) = 3ξ−1 and g(x) = 2 ξ − 1 . a) f ( g(x)) b) g ( f (x)) c) f ( f (x)) d) Find the domain a, b, and c. HW p. 418 (28 – 35 all)