need the final anwer The productivity of workers at a shoe factory (in pairs of shoes per hour) can be modeled using the function p(h) = -2/7h + 4, where h is the number of hours. If a worker must create least 2 pairs of shoes per hour for the company to be profitable, how long should the worker's shift be? 4 5 6 7 8 Evaluate (f/g)(x) if f(x) = 3x 2 + 3 and g(x) = 3x - 1 when x = 2. 0 3 5 8 12 Evaluate (fg)(x) if f(x) = 2x 2 and g(x) = 3x - 2 when x = -2. -64 -32 0 32 64 Evaluate (f + g)(x) if f(x) = 2x 2 and g(x) = 3x - 2 when x = 3. 16 19 25 35 43 Evaluate (f g)(x) if f(x) = 3x 2 and g(x) = 2x - 1 when x = -2. -75 -18 0 18 75 Evaluate a(b(n)) for a(b) = 2b and b(n) = 3n - 4 when n = 3. -25 -12 3 10 16 What is the range of the function f(x) = 2x + 5 over the interval of -3 x < 5? -6 f(x) < 8 -3 f(x) < 12 -1 f(x) < 15 2 f(x) < 21 6 f(x) < 36 What is the range of the function f(x) = 6x - 2 over the interval of 3 < x 8? 4 < f(x) 18 8 < f(x) 24 12 < f(x) 36 16 < f(x) 46 20 < f(x) 54 What is the range of the function f(x) = x 3 ? f(x) < 0 f(x) 0 f(x) = f(x) > 0 f(x) 0 What is the range of the function f(x) = x 2 ? f(x) > 0 f(x) 0 f(x) < 0 f(x) 0 f(x) = What is the domain of the function f(x) =x - 5? x < 5 x 5 x > 5 x 5 x = What is the domain of the function f(x) = (x + 4) 2 ? x > -4 x -4 x < -4 x -4 x = What is the domain of the function f(x) = x? x < 0 x 0 x > 0 x 0 x = What is the domain of the function f(x) = 5x? x = x > 0 x 0 x < 0 x 0 Evaluate the function f(x) = 2x 2 - 6 when x = -3. f(-3) = -24 f(-3) = -15 f(-3) = 3 f(-3) = 9 f(-3) = 12 Which of the following is not a function for all values of x? f(x) = 2x 3 f(x) = (-x) 1/3 fraction f(x) = (-x) 1/2 fraction f(x) = |-x| 1/2 fraction f(x) = |-x| 1/3 fraction Which of the following is not a function for all values of x? f(x) = 6x 2 f(x) = 2x + 3 g(x) = 4x 2 f(x) = -x 2 x = f(x) 2