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If f(x) = {(–2, –3), (3, –4), (0, –1), (–7, 3)}, which set of ordered pairs represents the inverse of f(x)?A.{(3, 2), (4, –3), (1, 0), (–3, 7)}B.{(–2, –3), (3, –4), (0, –1), (–7, 3)}C.{(2, 3), (–3, 4), (0, 1), (7, –3)}D.{(–3, –2), (–4, 3), (–1, 0), (3, –7)}SUBMITarrow_backPREVIOUS

Question

If f(x) = {(–2, –3), (3, –4), (0, –1), (–7, 3)}, which set of ordered pairs represents the inverse of f(x)?A.{(3, 2), (4, –3), (1, 0), (–3, 7)}B.{(–2, –3), (3, –4), (0, –1), (–7, 3)}C.{(2, 3), (–3, 4), (0, 1), (7, –3)}D.{(–3, –2), (–4, 3), (–1, 0), (3, –7)}SUBMITarrow_backPREVIOUS

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Solution

The inverse of a function f(x) is found by swapping the x and y coordinates of each ordered pair. So, for the function f(x) = {(–2, –3), (3, –4), (0, –1), (–7, 3)}, the inverse would be {(-3, -2), (-4, 3), (-1, 0), (3, -7)}. Therefore, the correct answer is D. {(–3, –2), (–4, 3), (–1, 0), (3, –7)}.

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