The functions f and g are defined as f(x) = 2x + 9 and g(x) = 3 - 4x. a) Find the domain of f, 9, f + g, f -g, fg, ff, -, and b) Find (f + 9)(x), (f-9)(x), (fg)(x), (f)(x). (x), and ( (x). a) The domain of f is. (Type your answer in interval notation.) The domain of g is. Type your answer in interval notation.) The domain of f + g is. Type your answer in interval notation.) The domain of f - g is]. (Type your answer in interval notation.) The domain of fg is. (Type your answer in interval notation.) The domain of ff is. (Type your answer in interval notation.) The domain of (x) is (Type your answer in interval notation.) The domain of (x) is Type your answer in interval notation.) b) (f+ 9)(x) = (Simplify your answer.) (f-9)(x) =(Simplify your answer.) (fg)(x) =(Simplify your answer.) (ff ) (x) = (Simplify your answer.) (x)= [(Simplify your answer.) (x)= [(Simplify your answer.) NextFind f(x) and g(x) such that h(x) = (fog)(x). h (x) = (7x+6)8 Choose the correct pair of functions. O A. f(x) =x , g(x) = 7x+6 O B. f(x) = 7x +6, g(x) =x8 O c. f(x) = 7 , 9 ( x ) = VX O D. f( x ) = V x, g( X) = X-6 NextFor the piecewise function, find the values g( - 6), g(1), and g(7). 9(x) = x+9, for x$ 1 7-x, for x > 1 9( - 6) = 0 9 (1) = 0 9(7) = NextTotal profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function P(x) = R(x) - C(x). Given R(x) = 58x - 0.4x" and C(x) = 4x + 14, find each of the following. a) P(x) b) R(100), C(100), and P(100) P(x) = (Type in descending powers of x.) R(100) = $ C(100) = $ P(100) = $ Next