Consider the function. f(x) = x7 – 2 (a) Find the inverse function of f. ft(x) = (x+2 (b) Graph fand f-1 on the same set of coordinate axes. y 8- 7 6 5 4 3 -3 -2 1 1 -2 -3 1 Domain of f-1 f Range of f-1 L 3 4 5 6 7 y 41 (c) Describe the relationship between the graphs. -8 X -3 -2 1 The graphs of f and f-1 are reflections of each other across the line y 81 7 6 5 3 2 X -7 -6 -5 -4 -3 -2 -1 23 -7 -6 -5 -4 -3 -2 -1 -1 20 -3 -4 -5 -6 -7 4 3 1 -2 -3 (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) Domain of f Range of f 1 3 4 5 6 7 y 4 3 2 -11 -3 -4 -5 -6 -7 f 23 X X

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