For any real number x belonging to R, the function f (x) + LG (the square of MX - 4mx + 3) is meaningful to find the value range of real number M

For any real number x belonging to R, the function f (x) + LG (the square of MX - 4mx + 3) is meaningful to find the value range of real number M

F (x) = LG (MX ^ 2-4mx + 3)!
MX ^ 2-4mx + 3 is always greater than 0, and M = 0 meets the condition
m> 0 and 16m ^ 2-12m