Let f (x) = x ^ 2, G (x) = 2 ^ x find f (g (x)) and G (f (x))

Let f (x) = x ^ 2, G (x) = 2 ^ x find f (g (x)) and G (f (x))

F (g (x)) = 2 ^ (2x) [2x power of 2]
G (f (x)) = 2 ^ (x ^ 2) [x-square power of 2]

F (g (x)) = x + 1. G (x) = X-1. Find f (2)
Then G (x) should be 2. If f (x) = x + 1, why is it wrong?

g(x)=x-1
f(x-1)=x+1
f(x)=x+2
f(2)=4

F (g (x)) = x, G (f (x)) = X. and G (3) = 5. Find a point on f (x)
As the title! Forget all the formulas, solve!
F (5) = 3 is wrong, that's what I do=

From F (g (x)) = x and G (3) = 5, f (g (3)) = 3 and f (5) = 3 are obtained
That is, a point on f (x) is (5,3)
G (f (x)) = x, this condition becomes redundant. Is this problem wrong?

The range of function y = log2x + log2 (4-x) is______ ．

In F (x) = log2x + log2 (4-x), X ＞ 0 and 4-x ＞ 0, so the domain of F (x) is (0, 4); ∵ f (x) = log2x + log2 (4-x) = log2 [x (4-x)] ∵ 0 ＜ x ＜ 4, ∵ 0 ＜ x (4-x) ≤ [x + (4 − x) 2] 2 = 4 ∵ log2 [x (4-x)] ≤ 2, ∵ y = log2x + log2 (4-x) is (- ∞, 2]. So the answer is: (- ∞, 2]

Simple calculation of 57 * (36 + 315 / 15)

57*（36+315/15)
=57*(26+21)
=57*45
=2565

For positive integer n, we define an "operation": 1. When n is odd, the result is n + 1; 2. When n is even, the result is 1 / 2n; and
Repeat. For example, take n = 9, then 9 first operation 10 second operation 5 third operation 6
If n = 12, the result of the 2013 operation is ()
A.1 B.2 C.2011 D.2012

12,6,3,4,2,1,2,1……
The last even number is 1 and the last odd number is 2
So answer 2, B

First degree inequality of one variable in Elementary Mathematics
During the "Mid Autumn Festival", apples are very popular. A store bought a batch of apples at the price of 1.5 yuan per kilogram. 6% of the apples sold were damaged. Only by setting the selling price at least at how much yuan per kilogram can the seller avoid losing money

We set the price at x yuan, a kilogram of apples in all
Then the purchase price is 1.5A
If you don't lose money, then the remaining 94% of Apple will sell for more than the cost
a（1-6%）×x>=1.5a
94%x>=1.5
94x>=150
x>=1.596
Keep 2 decimal places
x>=1.60
A: businesses should set the price at least 1.60 yuan per kilogram to avoid losses

(5 and 3 / 4) what's 10 7 and 2 / 5?

263／20

1 1 / 1 + 2 1 / 1 + 2 + 3 1 / 1 + 2 + 3 + 4 1 / 1 + 2 + 3 + 4 +. + n what sequence summation method is used? Reverse order? Dislocation subtraction? Split term?

1+2+3+…… +n=2(n+1)/21/(1+2+3+…… +n)=2/n(n+1)=2/n -2/(n+1)1+ 1/1+2+ 1/1+2+3 +1/1+2+3+4+…… + 1/1+2+3+4+.+n=1+2/2×3+2/3×4+2/4×5+…… +2/n(n+1)=1+2/2-2/3+2/3-2/4+2/4-…… -2/n+2/n-2/(n+1)=2-2/(n+1)=2n...

Let the coordinates of the intersection of the images with the functions y = 2x and y = X-1 be (a, b), then the value of 1a-1b is______ ．

The intersection coordinates of the image of y = 2x and y = X-1 are (a, b), ∧ B = 2A, B = A-1, ∧ 2A = A-1, a2-a-2 = 0, (A-2) (a + 1) = 0. The value of a = 2 or a = - 1, ∧ B = 1 or B = - 2, ∧ 1a-1b is - 12