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Verified answer
F(x) = 4^(3x - 7)f^-1 (4^(3x - 7)) = x
f^-1 (q) = 2
q = 4^(3x - 7) ---> x = 2)
q = 4^(3 . 2 - 7)
q = 4^(6 - 7)
q = 4^-1
q = 1/4