Express the given function h as a composition of two functions f and g so that h(x) = (f o g)(x), where one of the functions is 5x - 2. h(x) = (5x -2)9 f(x) =] g(x) = Evaluate the piecewise function at the given values of the independent variable. (2 -4 if x # 2 h(x) = x - 2 8 if x = 2 (a) h(3) (b) h(0) (c) h(2) (a) h(3) = (b) h(0) = (c) h(2) =3. The domain of the piecewise function is ( - co,06). 4 if xs - 1 a. Graph the function. f(x) = b. Use your graph to determine the function's range. -4 if x> - 1 a. Choose the correct graph below. O A. O B. O C. OD. Ay AY a b. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The range does not have any isolated values. It can be described by . (Type your answer in interval notation.) B. The range has at least one isolated value. It can be described as the union of the interval(s) and the set { }. (Use a comma to separate answers as needed.) O C. The range consists exclusively of one or more isolated values, It can be described as { }. (Use a comma to separate answers as needed.)4 Given the function f(x) = 6x - 4. (a) Find f . (b) Graph f and ( in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and f 1. (a) The inverse function is f (x) = . "Use integers or fractions for any numbers in the expression.) (b) Choose the correct graph which shows f(x) and f (x) graphed in the same coordinate system. The graph of f(x) is shown as a solid line and the graph of f (x) is shown as a dotted line. O A. O B O C. OD. Q LAY Q (c) State the domain and range of f(x) using interval notation. The domain of f(x) is , and the range of f(x) is State the domain and range of f (x) using interval notation. The domain of f(x) is , and the range of f' (x) is5. f(x + h) -f(x) Find the difference quotient of f; that is, find h , h #0, for the following function. Be sure to simplify. f(x) = x