Consider the function. f(x)=x²-1 (a) Find the inverse function of f. f-¹(x)=√√x+1 (b) Graph f and f-1 on the same set of coordinate axes. y O -4-3-2 1 -4 -3 Domain of f Range of f 6- 5 4 Domain of f-1 3 Range of f-1 -4 y 6 5 4 3 - w N. -4 f 2 2 (c) Describe the relationship between the graphs. 3 4 5 6 3 4 5 6 X The graphs of f and f-1 are reflections of each other across the line X (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) -6 -5 -4 -3 f -6-5-4-3-2-1 y 5 4 3 2 -2 -3 -5 -6 y 51 4 3 -2 -3 -4 -5 1 2 3 2 3 4 4 X X

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