3) (5 marks) Given f(x) = -5x+1 and g(x) = 4x - 3, a. Write an...

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3) (5 marks) Given f(x) = -5x+1 and g(x) = 4x - 3, a. Write an equation for (f + g)(x) b. Determine (f+g)(6) c. Determine (fg)(x) d. Determine (f-g)(x) e. Determine the domain of (fg)(x) 1-x 4) Given f(x) = (3)*, g(x) = 1 log3 x and h(x) = 2 x: (1 mark) a. (6 marks) b. Evaluate h(g(1)) and f(g(2)). Find (g f)(x), (hog)(x), and (gh)(x) in simplest form and state the domain of each function. (3 marks) c. Find x if (f + h)(x) = 9 3) (5 marks) Given f(x) = -5x+1 and g(x) = 4x - 3, a. Write an equation for (f + g)(x) b. Determine (f+g)(6) c. Determine (fg)(x) d. Determine (f-g)(x) e. Determine the domain of (fg)(x) 1-x 4) Given f(x) = (3)*, g(x) = 1 log3 x and h(x) = 2 x: (1 mark) a. (6 marks) b. Evaluate h(g(1)) and f(g(2)). Find (g f)(x), (hog)(x), and (gh)(x) in simplest form and state the domain of each function. (3 marks) c. Find x if (f + h)(x) = 9