Find the domain of definition of the following function (x)

The domain of definition is: x > 0

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1. If a = f (− 1), B = f (log0.514), C = f (lg0.5), then the relationship among a, B and C is______ (from small to large)
2. If a = f (- 1), B = f (log0.51 / 4), C = f (lg0.5), then what is the size relationship among a, B, C
3. Given that the even function f (x) = loga | X-B | increases monotonically on (- ∞, 0), then the relationship between F (a + 1) and f (B + 2) is () A. f（a+1）≥f（b+2）B. f（a+1）＞f（b+2）C. f（a+1）≤f（b+2）D. f（a+1）＜f（b+2）
4. Let even function f (x) = log (a) | X-B | monotonically increase on (- infinite, 0), then the size relation between F (B + 2) and f (a + 1)? Why B = 0
5. Given that the even function f (x) = loga | X-B | increases monotonically on (- ∞, 0), then the relationship between F (a + 1) and f (B + 2) is () A. f（a+1）≥f（b+2）B. f（a+1）＞f（b+2）C. f（a+1）≤f（b+2）D. f（a+1）＜f（b+2）
6. Given that the even function f (x) = loga | X-B | increases monotonically on (- ∞, 0), then the relationship between F (a + 1) and f (B + 2) is () A. f（a+1）≥f（b+2）B. f（a+1）＞f（b+2）C. f（a+1）≤f（b+2）D. f（a+1）＜f（b+2）
7. Given that the even function f (x) = loga ∣ ax + B ∣ increases monotonically on (0, + ∞), then the size relation between F (b-2) and f (a + 1) is obtained
8. Given that the even function f (x) = loga I x + B I decreases monotonically on (0, + infinity), then the relationship between F (B - 2) and f (a + 1) is ()
9. Given that the even function f (x) increases monotonically on [1,4], then the relation between F (- Π) and f (log2 bottom (1 / 8)) is?
10. It is known that F & nbsp; (x) is an even function on R and increases monotonically on (0, + ∞), and F & nbsp; (x) < 0 holds for all x ∈ R. try to judge the monotonicity of − 1F (x) on (- ∞, 0) and prove your conclusion
11. The definition field of the function f (x) = Log &; (x + 1 / x-1) is
12. If f (x) is known to be a decreasing function at [- 2, + ∞), and f (2-m) > F (3m-1), then the range of M is Such as the title
13. Given that the first-order function f (x) = (M2-1) x + m2-3m + 2 is a decreasing function on R, and f (1) = 3, the value of M is obtained
14. The function y = (1-3m) x + (2m-1) calculates the value or range of m according to the following conditions 1. Y decreases with the increase of X 2. This line is parallel to the known line y = - 2x + 3 3. This line goes through the second, third and fourth quadrants
15. The equation (3a-2) x & # 178; + 4ax + 2aX + 2A + 2 = 0 has two unequal real roots,
16. It is known that the eccentricity of ellipse C: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) is root 2 / 2, and the inequality | x | / A + | y | / b=
17. Find the equations of the following circles and draw the figure. The center of the circle is point C (8, - 3), and the main drawing is through point a (5,1) 2, a (- 1,5), B (5,5) C (6, - 2)
18. Find the equations of circles determined by the following conditions and draw their figures (1) The center of the circle is m (3, - 5) and tangent to the line x-7y + 2 = 0 (2) The center of the circle is on the y-axis, the radius length is 5, and it is tangent to the line y = 6
19. Go through three points a (- 1,5), B (5,5), C (6, - 2), find the equation of the circle and draw the figure
20. Let the equation of the straight line l be (m-2m-3) x - (2m + m-1) y = 2m-6, and determine the value of the real number m according to the following conditions: (1) the intercept on the X axis is - 3; (2) the slope is - 1