I. For each pair of functions, f(x) and g(x), find the following: a) (f + g)(x), b) (f -g)(x), c) (f.g)(x), and d) (2)(x). For each part state the domain, in interval notation, of the combined function. 1. f(x) = 5x + 4 and g(x) = 2x2 - 3x - 7 2. f(x) = and g(x) = -5 x - 2 II. Let f(x) = -2x3 + 7x -8, g(x) = -5x + 3, and h(x) = 3x 2x -9 . Evaluate each of the following. 1 . (f + h) (3) 2. ( 8 - D)( ) 3 ( 2 ) (-4 ) 4 . (h. D) ( ) 5. (g . f) (1 ) 6. (f . h)(-3) III. Find the difference quotient f(x+h)-f(2 h#0, for the given function f. h 1. f(x) - 3x- 7x +5 2. f(x) = 2 ,X* -3