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Select a function. Use the x-slider to change the input value of g(I). The output of g() is the input of f(I). The output of

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Select a function. Use the x-slider to change the input value of g(I). The output of g() is the input of f(I). The output of f() is the result of the composite function f(g(I)). Composite Functions: (fog)(I) f(x) = 5 - 0.51 4 3 -8 -7 -6 -5-4-3-2-1 1 2 3/ 4 5 6 7 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 -2 -3 -4 g(I) = 1 - 4Select Function Set 1, f(x) = 5 - 0.5x and g(x) = x - 4. Complete parts 1 through 3 below. Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure. Part 1: Using the graph of g, evaluate g(2). g(2) = -2 Part 2: Using the graph of f and the value of g(2) found in Part 1, evaluate f(g(2)). f(g(2)) = 6 Part 3: Check the Values box and move the x-slider to x = 2 to verify your answer in Part 2 (hold the alt key for finer slider control). Check the Display (fog)(x) box to display the graph of (fog)(x). What is the simplified algebraic expression for (fo g)(x)? (f o g)(x) = (Simplify your answer.)

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