The function f is such that f(x) = a^2x^2 - ax + 3b for x<=(1/2a), where a and b are constants.

1) For the case where f(-2) = 4a^2 - b +8 and f(-3) = 7a^2 - b + 14, find the possible values of a and b.
2) For the case where a = 1 and b = -1, find an expression for inverse f(x) and give the domain of inverse f(x).

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