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To find the corresponding point on the graph of y = f((-1/3x) + 6), we need to substitute the values of x and y from the point (6, -12) into the new expression.
Let's start by substituting x = 6 into the function:
(-1/3(6) + 6) gives us (-2 + 6) which simplifies to 4.
Therefore, when x = 6, y = -12, the corresponding point on the graph of y = f((-1/3x) + 6) is (6, 4).