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QUESTION 2 Refer to the functions given in part B of your Tutorial 4 Worksheet. Evaluate the following combinations of these functions. State your answers
QUESTION 2 Refer to the functions given in part B of your Tutorial 4 Worksheet. Evaluate the following combinations of these functions. State your answers as decimals to the nearest tenth. if the answer is rational. Otherwise, enter an integer. (f - h)(4) = (g + h)(4) = (g . h)(9) = ()(4) = (2)(3) = Question 4 Determine whether each of the following statements are true or false. Enter T for true, or F for false. The function f(x) = x is invertible on its natural domain. QUESTION 3 Refer to the functions given in part B of your Tutorial 4 Worksheet. Evaluate the following compositions of these functions. State your answers as decimals to the nearest tenth if the answer is rational. Otherwise, enter an integer. The function f(x) = x2, x 2 0 is a one-to-one function and is invertible. (foh)(1) = The function f(x) =2 -4 - x has a restricted domain. (f oh)(4) = The function f(x) = 2 - 4-X is not invertible. (hog)(2) = (g . h)(9) = The inverse function of f(x) =2 -4-x is f-1(x) = 2-(4-x)2 (g . f )(0) = The inverse function of f(x) = 2 -4-x is f-1(x) = 4-(2-x)2 The inverse function of f(x) = 2 - 4-x is f-1(x) = 4-(2-x)2 , x52 Functions f(x) and g(x) are inverses if (fog)(x) = x
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