The sum of 2 plus root 5 to the power of 2005 multiplied by the difference of 2 minus root 5 to the power of 2005 plus root 20

RELATED INFORMATIONS

• 1. What is the second power of the root of log4?
• 2. Proposition p: F (x) is the inverse function of F (x) = 1-3x, and / F (a) ^ - 1 / 0}, and a intersection B = empty set For the value range of real number a, there is and only one true proposition in the mission questions P and Q
• 3. Find an inverse function, y = x / (3x + 5)
• 4. It is known that the maximum value of the quadratic function FX = ax + 2aX + 1 in the interval [- 3,2] is the value of 4 for a
• 5. It is known that quadratic function f (x) = ax ^ 2 + BX + C and primary function g (x) = - BX, where a, B, C satisfy a > b > C, a + B + C = 0 (a, B, C belong to R) ① Verification: the images of two functions intersect at two different points a and B ② Find the range of the length of the projective A1B1 of line AB on the x-axis
• 6. It is known that the quadratic function f (x) = ax & # 178; + BX + C (a, B, C belong to R) satisfies the following conditions: (1) when x belongs to R, the minimum value of F (x) is 0 It is known that the quadratic function f (x) = ax & # 178; + BX + C (a, B, C belong to R) satisfies the following conditions: ① When x belongs to R, the minimum value of F (x) is 0, and f (x-1) = f (- x-1) holds; ② When x belongs to (0,5), X ≤ f (x) ≤ 2 | X-1 | + 1 is constant (1) Find the value of F (1); (2) Find the analytic expression of F (x); (3) Find the largest real number m (M > 1), so that there is a real number T, as long as X belongs to [1, M], then f (x + T) ≤ x holds
• 7. Let f (x) = ax & sup2; + BX + C (a, B, C belong to R) satisfy the following conditions: (1) when x belongs to R, its minimum value is 0 and f (x-1) = f (- x-1) holds. (2) when x belongs to (0,5), X ≤ f (x) ≤ 2 | X-1 | + 1 holds. (1) find the value of F (1); (2) find the analytic expression of F (x); (3) find the largest real number m (M > 1) so that there exists t belongs to R, and f (x + 1) holds as long as X belongs to [1, M]
• 8. If the quadratic function f (x) = ax & # 178; + BX + C, f (- 1) = f (3) = 1, and the minimum value of F (x) is - 7, find the analytic expression of F (x)
• 9. Given quadratic function f (x) = ax ^ 2 + BX + 4, set a = {x | f (x) = x} If 1 belongs to a, and a is greater than or equal to 1 and less than or equal to 2, let the maximum and minimum values of F (x) in the interval [1 / 2,2] be m and m respectively, and let g (a) = M-M, and find the minimum value of G (a)
• 10. Why are the images of two inverse functions symmetric with respect to the line y = x;
• 11. Let the inverse function of the function y = ax + 2 find the value of a for itself
• 12. When the function y = ax + B and its inverse function are the same function, the values of a and B are A.a=1,b=0 B.a=-1,b=0 C.a=±1,b=0 D. A = 1, B = 0 or a = - 1, B takes any real number
• 13. Given f (x) = (2x + 1) / (x + a), [x ≠ - A, a ≠ 1 / 2], find the inverse function of F (x); if f (x) = f - &# 185; (x), find the value of A
• 14. If the inverse function of F (x) = (2x-1) / (x + a) is itself, then the value of a is
• 15. If the function f (x) = a + 3 / X-B and the function g (x) 1 + C / 2x + 1 are reciprocal functions, the values of a, B and C are obtained fast
• 16. The image of function y = ax + 1 / 3-2x can be obtained by which inverse function after proper translation Please write the process
• 17. Y = ax + 1 / B + 2x inverse function If (1.2) is on the image of function y (B + 2x) = ax + 1 and on its inverse function image, find f (x)
• 18. F (x) = LG [x + √ (x ^ 2 + 1)] to find the inverse function of F (x) Each step is more detailed The answer is y = 1 / 2 (10 ^ X-10 ^ - x)
• 19. Find the x power + 1 of inverse function y = 10
• 20. Let f (x) = log2 (x + a) - B, where the image of a given function passes through (- 1,0) (1,1), find the analytic expression and negative interval of real numbers a, B and the function