1.Given the following pair of functions: f(x)=2x+9

and g(x)=1+x-x^2

Calculate and simplify as far as possible be sure to show all work.

a) f(g(x)) b) g(f(x))

2. The function gives the number of items that will be demanded when the price is p dollars. The production cost, C(x) is the cost, in dollars, of producing x items. Explain the meaning of C(D(7)) in a sentence.

3. Write the function f as the composition of h and g such that f(x) = h(g(x)).

f(x) = (x³ + 4x² - x + 3)²

h(x) = g(x) =