Name: Date: Period: Compositions of Functions The composition of functions is the process of combining two or more functions into a single function. s Inf(g(x)),g(x) is the input of f(x) o In(fg)(x), g(x)is the input of f(x) e Ing(f(x)).f(x) s the input of g(x) In(g X)), f(x)is the input of g(x) Examples - Directions: Perform the indicated ope 1.f(x)=-2x+2,g(x)=x3 Find f(g(x)) 2. f(x)=-3x+1,g(x) =4x+3 Find (f g)(x) Af(x)==2x+2,9(x)=x=3 Find g(f(x)) 4 fx)=-3x+1,9x)=4x+3 Fnd(@ N[ Tymell @Coastal_Math Practice - Directions: Perform the indicated operation. 5. f(x) = 2x - 1,g(x) = 3x +4 Find f(g(x)) 6. f (x) = x+1,g(x) = 2x -3 Find (f *g)(x) 7. f(x) = 2x - 1,g(x) = 3x +4 Find g(f (x)) 8. f(x) = x +1,g(x) = 2x - 3 Find (g . f)(x) X 9. f(x) = 4x + 1,g(x) = 4x + 2 Find f(g(x)) 10. f(x) = 3x +4, g(x) = 2x -4 Find (f g)(x) 11. f(x) = 4x + 1,g(x) = 4x + 2 Find g(f(x)) 12. f(x) = 3x + 4,g(x) = 2x -4 Find (g . f)(x) Coastal Math 13. f(x) = x2 + 3x, g(x) = -x - 3 [ Find (f g)(3) | |14. h(a) = a3 - 3a,g(a) = 3a -1 Find (h g)(a) Tyrrell @Coastal_Math