It is known that M is a set of all functions f (x) satisfying the following properties. For function f (x), Let f (x) be a set of any two self-sufficient functions in the domain of F (x) It is known that M is a set of all functions f (x) satisfying the following properties (x) For any two independent variables X 1.x 2 in the domain, | f (x 1) - f (x 2) | ≤| x 1-x 2 | holds 1. Given that the function g (x) = ax ^ 2 + BX + C belongs to m, write the conditions that real numbers a, B, C must satisfy 2. For the element H (x) = √ (x + 1) of set M, X ≥ 0, find the minimum value of constant K satisfying the condition

It is known that M is a set of all functions f (x) satisfying the following properties. For function f (x), Let f (x) be a set of any two self-sufficient functions in the domain of F (x) It is known that M is a set of all functions f (x) satisfying the following properties (x) For any two independent variables X 1.x 2 in the domain, | f (x 1) - f (x 2) | ≤| x 1-x 2 | holds 1. Given that the function g (x) = ax ^ 2 + BX + C belongs to m, write the conditions that real numbers a, B, C must satisfy 2. For the element H (x) = √ (x + 1) of set M, X ≥ 0, find the minimum value of constant K satisfying the condition

We still have questions 3 and 4. Which one?
It is known that M is a set of all functions f (x) satisfying the following properties
(x) For any two independent variables X 1.x 2 in the domain, | f (x 1) - f (x 2) | ≤| x 1-x 2 | holds
1. Given that the function g (x) = ax ^ 2 + BX + C belongs to m, write the conditions that real numbers a, B, C must satisfy
2. For the element H (x) = k √ (x ^ 2 + 1) of set M, X ≥ 0, find the value range of constant K which satisfies the condition
3. Is there a real number a such that P (x) = A / (x + 2) belongs to the set m on X ∈ (- 1, + ∞)? If there is a value range of a, if not, please explain the reason
4. When x ∈ (0, π / 2), SiNx