If f (lgx) > F (1), then the value range of real number x is () A. (110,1)B. (0,110)∪(1,+∞)C. (110,10)D. (0,1)∪(10,+∞)

If f (lgx) > F (1), then the value range of real number x is () A. (110,1)B. (0,110)∪(1,+∞)C. (110,10)D. (0,1)∪(10,+∞)

∵ f (x) is an even function, it is a decreasing function on [0, + ∞), and∵ f (x) increases monotonically on (- ∞, 0). From F (lgx) > F (1), f (1) = f (- 1), we get: - 1 < lgx < 1, ∵ 110 < x < 10, so the answer is C