Given that the domain of definition of function y = radical X & # 178; - 2aX + 2 is r, find the range of real number a

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• 1. The function f (x) = 2aX ^ 2 + 4ax + 1 / 3 is defined as R, and the value range of real number a is calculated?
• 2. If a = {x | x square + 3x-10
• 3. The known set a = {x | x It's cub!!!! Not CR B!!! Don't get it wrong
• 4. Given a = {x | x2-3x + 20}, if a ∪ B = B, then the value range of A
• 5. First simplify, then evaluate: 2x2 (x-3 / 1y & # 178;) + (- 2x + 1y & # 178;), where x = - 2, y = 2 / 3
• 6. If the square of 3x (2a + B + 1) + the square of 5Y (a-2b-1) = 10 is a quadratic equation with respect to X and y, find a-b
• 7. Square of factorization factor (x's square + 3x) - 8 (x's square + 3x) - 20
• 8. If the set a = {x | X & # 178; + 3x-4 & lt; 0, X ∈ r}, then what is the number of proper subsets of the set a ∩ Z,
• 9. A set a = {X & sup2; - 3x + 4 = 0, X ∈ r}, B = {x | (x + 1) (X & sup2; + 3x-4) = 0, X ∈ r}, and a proper subset P subset B
• 10. Given the set a = {x ∈ R | X & sup2; + 3x + 3 = O}, B = {x ∈ R | X & sup2; - 5x + 6 = 0}, a is contained in P and true in B, find the set P satisfying such condition
• 11. Given the complete set I = R, set a = {x | x ^ 2 + 3x + 2 = 0}, B = {x | x ^ 2 + (M + 1) x + M = 0}. If CIA intersection B = Φ, find the value of M
• 12. Let f (x) = x2-3x + 1, then f (a) - f (- a) is equal to =?, Urgent,,
• 13. Given the function f (3x) = 3x + 2, then f (x) is equal to
• 14. If the intersection point of the image of function y = x + m and function y = NX + 2 is on the X axis, then Mn=————
• 15. If the points (1, m), (- 2, n) are all on the image of the function y = - x + 2, then the value of Mn is?
• 16. It is known that a set M is a set of functions f (x) satisfying the following two properties simultaneously ① F (x) is a monotone increasing function or a monotone decreasing function in its domain of definition; ② There is an interval [a, b] in the domain of F (x), such that the range of F (x) on [a, b] is [A / 2, B / 2] (1) Judge whether the function f (x) = √ x belongs to m? And explain the reason. If so, request the interval [a, b]; (2) If the function f (x) = √ (x-1) + T ∈ m, find the value range of real number t Be as detailed as possible
• 17. 6. Given that the function f (n) defined on a positive integer satisfies the following condition (1) f (M + n) = f (m) + F (n) + Mn (2) f (3) = 6, then f (2000) =?
• 18. The function y = f (x) defined on positive integer set has f (a + b) = f (a) * f (b) constant for any a, B ∈ n Let f (1) = a ≠ 0, if an = f (n) (n ∈ n +) (1) Prove: the sequence {an} is an equal ratio sequence, and find out the general term formula of the sequence {an} (2) If Sn = a1 + A2 + +An, the sequence {sn-2an} is an equal ratio sequence, find the value of real number a
• 19. For any m, n ∈ n +, f (M + n) = f (m) + F (n) + 4 (M + n) - 2, f (1) = 1 1. Find the expression of F (x) 2. M ∧ 2-tm-1 ≤ f (x) for any m ∈ [- 1,1], X ∈ n + is constant, find the value range of real number t
• 20. The function f (x) defined in positive integer set has f (M + n) = f (m) + F (n) + 4 (M + n) -· 2 for any m, N, and f (1) = 1 If m ^ 2-tm-1