Given the function f (x) = lg1-x / 1 + X, 1. Find the definition domain of the function 2. The value range of X that makes f (x) > 0 Let f (x) = 1-2 to the power of X + 2 / 1, find the range of function value

(1) (1-x) / (1 + x) > 0, that is, (1-x) (1 + x) > 0, and the range of X (- 1,1) can be obtained
(2) (1-x) / (1 + x) > 1, so the value range is (- 1,0)
(3) Y = f (x) in the domain of definition, X is an increasing function

RELATED INFORMATIONS

1. (1 / 2) it is known that f (x) is an even function defined on R, and for any x belonging to R, f (2 + x) = f (2-x). When x belongs to [0,2], f (x) = 3x + 2 (1 / 2) it is known that f (x) is an even function defined on R, and for any x belonging to R, f (2 + x) = f (2-x). When x belongs to [0,2], f (x) = 3x + 2, find f (x)
2. It is known that f (x) is an even function defined on R, and for any x belonging to R, f (x + 2) = f (X-2). When x belongs to [0,2], f (x) = 3x + 2, find the analytic expression of F (x) on [4,0]
3. It is known that the function f (x) is an even function defined on R. when x is greater than 0, f (x) = x * x + 3x-1, the analytic expression of F (x) is obtained
4. Let f (x) be an even function defined on R, when x < 0, f (x) = 3x ^ 2-e ^ x, find the analytic expression of F (x) when x > 0!
5. Given that the function f (x) is an even function defined on R, and for any x belonging to R, f (2 + x) = - f (x). When x belongs to [0,2], f (x) = 3x + 2, then the analytic expression of the function in the interval [- 4,0] is?
6. Let f (x) be defined on (- ∞, 0) ∪ (0, + ∞), and f (x) satisfy the relation f (x) + 2F (1 / x) = 3x
7. If the function f (x) defined on R satisfies the relation f (x) + 2F (x / 1) = 3x, then the value of F (2) is? With steps,
8. If the definition field of function f (x) is {x | x ≠ 0}, and f (x) - 2F (1 / x) = 3x, then the analytic expression of F (x) is___ The parity of F (x) is___
9. If the definition field of function f (x) is {x | x not = 0}, and f (x) - 2F (1 / x) = 3x, then the analytic expression of F (x) is
10. F (x) and G (x) are functions defined on R, the equation x-f (g (x)) = 0, G (f (x) can not be A X^2+X-1\5 Bx^2+x+1\5 Cx^2-1\5 DX^2+1\5 Let f (x) = x, then G (f (x) = g (x) = f (g (x)) can be obtained I want to ask 1 why we can set f (x) = x, is it because of the equation, I personally think f (x) should not be equal to x, but it is If f (g (x)) = x can be regarded as f (x) = x, and the rule of F is not x, how should we look at it
11. Given that y = f (x) is a decreasing function in the domain (- 1,1), and f (1-A) < f (3a-1), then the value range of a is
12. If f (x) is an increasing function in the domain [- 1.1], and f (X-2) > F (1-x), then the value range of X is
13. Given that f (x) = 1 / root x 2 + ax + A-1 is defined as (- ∞, 1-A) ∪ (- 1, + ∞), the value range of a is obtained
14. If the domain of function f (x + 1) is [0,1], then the domain of function f (3x-1) is [0,1]______ ．
15. Finding function derivative y = e ^ sin2x
16. Find the tangent and normal plane equation of curve y ^ 2 = 4x, z = 2x ^ 2 at point x = 1 I don't know whether to solve the plane equations of the two equations separately or whether the two equations are the same equation?
17. The tangent equation of curve y = x3-2x2-4x + 2 at points (1, - 3) is () A. 5x+y+2=0B. 5x+y-2=0C. 5x-y-8=0D. 5x-y+8=0
18. If a tangent of the curve f (x) = x ^ 2 - 1 is parallel to the straight line y = 4x - 3, the tangent equation is obtained
19. The tangent equation of the curve y = X3 + X-2 parallel to the straight line y = 4x-1 is () A. 4x-y = 0b. 4x-y-4 = 0C. 4x-y-2 = 0d. 4x-y = 0 or 4x-y-4 = 0
20. The tangent equation of the curve y = X3 + X parallel to the straight line y = 4x-1 is () A. 4x-y = 0b. 4x-y + 2 = 0 or 4x-y-2 = 0C. 4x-y-2 = 0d. 4x-y = 0 or 4x-y-4 = 0