When x ∈ (1, + ∞), the image of function y = XA is always below y = x, then the value range of a is () A. 0 < a < 1b. A < 0C. A < 1 and a ≠ 0d. A > 1

When x ∈ (1, + ∞), the image of function y = XA is always below y = x, then the value range of a is () A. 0 < a < 1b. A < 0C. A < 1 and a ≠ 0d. A > 1


According to the characteristics of the image of the power function, the image of the function is drawn. When x ∈ (1, + ∞), the image of the power function y = x α is always below the straight line y = x, then the value range of α is: (0, 1)



The image of the function y = a ^ (1-x) passes through the fixed point a, if the point a is in the straight line
If the image of function y = a ^ (1-x) (a > 0, a ≠ 1) passes through the fixed point a, if the point a is on the straight line MX + NY-1 = 0 (Mn > 0), then the minimum value of 1 / M + 2 / N is?


The function y = a ^ (1-x) (a > 0, a ≠ 1)
Substituting (1,1) into MX + NY-1 = 0
m+n=1
1/m+2/n
=(m+n)(1/m+2/n)
=1+2+n/m+2m/n
=3+(n/m+2m/n)
≥3+2√2
When n / M = 2m / n n ^ 2 = 2m ^ 2, the minimum value is
3+2√2