Name: Pre-Calculus Date: Unit 2: Functions & Their Graphs Quiz 8: Function Operations, Compositions, and Inverses Given A(x) = x2 + 3x - 10, g(x) = 6 - x3, and h(x) = 2x + 1, find each function and state its domain. 1 . ( f + h ) (x ) 2. (h - 8) (x) D: 2. 3. (f . 8) (x ) 4. (" ) (x) D: 3 D: 5 . ( foh ) (x ) 6. (hog)(x) 4. D: 5. D: 7. Given f(x) = Vx+3 and g(x) = Vx-6, find (f .g)(x) and state its domain. 6. D: 7. 2 8. Given f(x) = + and g(x) = - , find (f +g)(x) and D: state its domain. 8 D: 9. Given f(x) = x2 -4 and g(x) = Vx+1, find (f . g)(x) and 9 state its domain. D: 10 10. Given h(x) = -(x+5)3 +2 , find two functions, f and g, such that ( f . 8 ) ( x ) = h(x)