I am struggling on answering these questions. I need help on all parts.

1. Given f(x) = Vx + 3 and g(x) = x2. Find (fog) (x) 2. Given f (x) = = and g(x) = x+3. Find (f + g) (2). 3. Given f (x) = x2 + 3x and g(x) = 2x2 -1. Find (f - g)(x). 4. Determine whether each is even, odd, or neither: a ) f (x ) = x2 -x b) f (x ) = 2x35. Given f(x) = x+ x4 Find the average rate of change from x = -1 to x = 3. 6. Let f(x) = x3. Write the equation of the function that shifts this function 3 units to the right and downward 2 units. 7. Suppose you are given the graph of y = f(x). How does y = f(x) need to be shifted to obtain y = f(x -5)? 8. Graph f(x) = x2 on the given Cartesian plane. Then use transformation of this standard graph to graph the new function f (x) = (x + 2)2 -5. Graph the functions on this same grid, preferably in different colors. 5 N - 5 3-4 -3 -2 - 1 1 2 3 4 5 6 in t in is