Mathematical problems of high school function If the function f (x) = (k-1) a ^ x-a ^ (- x) (a > 0 and a ≠ 1) is both odd and even on R, then the image of G (x) = loga (x + k) is A. Monotonically decreasing at (- 2, + ∞) B. Monotonically increasing at (- 2, + ∞) C. Monotonically decreasing at (2, + ∞) D. Monotonically increasing in (2, + ∞) The title must be right!

Mathematical problems of high school function If the function f (x) = (k-1) a ^ x-a ^ (- x) (a > 0 and a ≠ 1) is both odd and even on R, then the image of G (x) = loga (x + k) is A. Monotonically decreasing at (- 2, + ∞) B. Monotonically increasing at (- 2, + ∞) C. Monotonically decreasing at (2, + ∞) D. Monotonically increasing in (2, + ∞) The title must be right!

Choose a
It is odd function and even function on R
If it is an odd function, then it passes through the origin (0,0),
Brought in (k-1) a ^ 0-A ^ 0 = K-2 = 0
Then k = X
Then G (x) = loga (x + k) = loga (x + 2)
If G (x) is over (- 2,0), CD is excluded
After taking a special value, a is less than 0
Then choose a