Given the function f (x) = 4x-2x + 1 + 3. (1) when f (x) = 11, find the value of X; (2) when x ∈ [- 2, 1], find the maximum and minimum value of F (x)

Given the function f (x) = 4x-2x + 1 + 3. (1) when f (x) = 11, find the value of X; (2) when x ∈ [- 2, 1], find the maximum and minimum value of F (x)

(1) When f (x) = 11, i.e. 4x-2x + 1 + 3 = 11, (2x) 2-2 · 2x-8 = 0  (2X-4) (2x + 2) = 0 ∵ 2x ＞ 02x + 2 ＞ 2, ∵ 2X-4 = 0, 2x = 4, so x = 2 ------ (4 points) (2) f (x) = (2x) 2-2 · 2x + 3 & nbsp; & nbsp; (- 2 ≤ x ≤ 1) let

The general picture of the function f (x) = x − 12 is ()
A. B. C. D.

Because - 12 ＜ 0, f (x) decreases monotonically on (0, + ∞), excluding options B and C; and the domain of definition of F (x) is (0, + ∞), excluding option D, selecting a

Let the image of the X + 1 power of the function f = a pass through a point____

(- 1,1) (the image can be obtained according to the index)
What's the problem? Let me know

Given the x power (x5) of function FX = a, and F8 = 16, find a

Piecewise function problem
FX = x power of a (x5)
F (8) = 16, because 8 > 5 is substituted into the second equation
So f (8) = f (8-2) = f (6), because 6 > 5 is then substituted into the second equation
F (6) = f (6-2) = f (4) because 4

There are ten cylindrical columns in the school corridor. The bottom radius of each column is 4 decimeters and the height is 25 decimeters. To paint these columns, 0.3 kg per square meter is needed. How many kg of paint are needed

The perimeter of the column is 3.14 * 0.4 = 1.256 m2; the side area is 3.14 * 0.4 * 2.5 = 3.14 m2; the side area is 3.14 * 0.4 * 2.5 * 10 = 31.4 m2; the paint is 31.4 * 0.3 = 9.42 kg

Add the appropriate operation symbols and brackets to make the calculation result equal to two fifths

1/3÷[1/3÷(1/3+1/3)+1/3]
=1/3÷(1/3÷2/3+1/3)
=1/3÷(1/2+1/3)
=1/3÷5/6
=1/3×6/5
=2/5

Let f (x) be differentiable in (0, + ∞), its inverse function be g (x), and ∫ [upper and lower limits (1, f (x))] g (T) DT = 1 / 3 * {x ^ (3 / 2) - 8}, then the derivative of F (x) is obtained

Two side derivation:
-g(f(x))*f `(x)=1/2*{(x^1/2)}
Note that G (f (x)) = X
f `(x)=-1/2*{x^(-1/2)}

（-1）+（+2）+（-3）+（+4）+… How to write (- 2001) + (+ 2002) + (- 2003) + (+ 2014)

（-1）+（+2）+（-3）+（+4）+… （-2001）+（+2002）+（-2003）+（+2014）
=[（-1）+（+2）]+[（-3）+（+4）]+… [（-2001）+（+2002）]+[（-2003）+（+2014）]
=1 + 1 +. + 1 + 1 with two as a group, a total of 2014 / 2 = 1007 groups
=1007

1234 addition, subtraction, multiplication and division equals 12

2*4+1+3=12

Given that point P is in the fourth quadrant, and the distance to x-axis is 2, and the distance to Y-axis is 3, then the coordinate of point P is_________

The coordinates of P (3, - 2)