.(3,-19)is point of y = 2f(x - 1)+2      then point of y = 2 f(¹/₃x - 1)+2 is*(-3,14)(-9,-14)(3,14)(9,-14)

The question seems to be asking for the transformation of a point under a given function. However, the function f(x) is not specified, so I can't provide a specific answer.

In general, if you have a point (a, b) on the graph of y = f(x), then the point on the graph of y = 2f(1/3x - 1) + 2 would be obtained by transforming the x-coordinate according to the rule x -> 3x + 3 (the inverse of the transformation 1/3x - 1), and the y-coordinate according to the rule y -> (y - 2)/2 (the inverse of the transformation 2y + 2).

So if (3, -19) is a point on the graph of y = 2f(x - 1) + 2, then the corresponding point on the graph of y = 2f(1/3x - 1) + 2 would be (9, -21).

However, this point is not among the options given. It's possible that there's a mistake in the question, or that I've misunderstood what it's asking.