Hi I need help in doing this assignment.

8) 9) g(x) f( x_ f(x ) g(x) Given the graphs of y =f(x) (blue) Given y = f(x) and y = g(x): and y =g(x) (red ): a) State the domain and range of y = f(x) . a) Draw the graph of y (f + g)(x). State the domain and range. b) State the domain and range of y = g(x) . b) Draw the graph of y (g - f)(x). c) State the domain of y = f(x) . g(x). State the domain and range. How is it related to the domains of y = f(x) and y = g(x)? Use the following graph to complete the next 3 given operations Blue graph is f(x) and green graph is g(x) 10) Find g(f(-3)) g(x) f ( x ) 11) Find (f - g)(1) 12) Find f(4) . g(3)Function Operations Assignment SHOW ALL WORK! Date Perform the indicated operation. 1) g(1) =12 - 6 2) f(n) =n3 - 3n2 h(1) =-31 -3 g(n) = 2n - 4 Find (g - h)(t) Find f(g(n?)) 3) g(n) = 3n - 5 4) h(x) =-2x + 1 h(n) =3n - 3 g(x) = x +4x Find g(h(-6)) Find h(-5) . g(-5) Find f and g so that h(x) = (fog)(x). Neither function may be the identity function f(x) = x. 5) h(x) =5" -1 Determine if the given functions are inverses. Show all work and state answer. 6) f(x) = x+1 g(x) = -3x +1 Find the inverse of the function. Then graph the function and its inverse. 7) g(x) = (x-2)5