It is known that f (x) is an odd function and G (x) is an even function. F (x) + G (x) = LG (x + 1) (1) Finding f (x) and G (x) (2) If x, G (x) < A in the team domain is constant, the value range of a is obtained It is known that f (x) is an odd function and G (x) is an even function

It is known that f (x) is an odd function and G (x) is an even function. F (x) + G (x) = LG (x + 1) (1) Finding f (x) and G (x) (2) If x, G (x) < A in the team domain is constant, the value range of a is obtained It is known that f (x) is an odd function and G (x) is an even function

f(x)=f(-x)
g(x)=-g(-x)
f(x)+g(x)=lg(x+1)
f(-x)+g(-x)=lg(-x+1)
f(x)-g(x)=lg(-x+1)
If f (x) + G (x) = LG (x + 1), we obtain
F (x) = [LG (- x + 1) + LG (x + 1)] / 2 = LG [radical (1-x ^ 2)]
G (x) = [LG (- x + 1) - LG (x + 1)] / 2 = LG {radical [(1-x) / (1 + x)]}
g(x)