Given that a, B ∈ R and a ≠ 2, the function f (x) = LG1 + ax1 + 2x defined in the interval (- B, b) is odd. (1) find the analytic expression of function f (x) and the value range of B; (2) discuss the monotonicity of f (x)

Given that a, B ∈ R and a ≠ 2, the function f (x) = LG1 + ax1 + 2x defined in the interval (- B, b) is odd. (1) find the analytic expression of function f (x) and the value range of B; (2) discuss the monotonicity of f (x)

(1) F (x) = LG1 + ax1 + 2x, X ∈ (- B, b) is an odd function, which is equivalent to that f (- x) = - f (x) & nbsp; & nbsp; & nbsp; (1) 1 + ax1 + 2x ＞ 0 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; (2) holds. (1) formula is & nbsp