Let f (x) = 2x + 3, G (x + 2) = f (x), then the expression of G (x) is?

Let f (x) = 2x + 3, G (x + 2) = f (x), then the expression of G (x) is?

Let y = x + 2, then x = Y-2
g(y)=f(y-2)=2(y-2)+3
=2y-1
So g (x) = 2x-1

Simple calculation of 19.25 * 38 + 192.5 * 6.1 + 19.25

On the understanding of function image
How to translate y = f (2x) into y = f (2x + 1)?

Y = f (2x) to y = f (2x + 1)
Because y = f (2x + 1) is deformable to y = f [2 (x + 1 / 2)]
Note the change of the analytical expression before and after the change, we can see that x becomes x + 1 / 2
Therefore, the image of y = f (2x + 1) can be obtained by moving the image of y = f (2x) 1 / 2 units to the left

As shown in the figure, diamond ABCD, ∠ bad = 120 °, point m is the point on BC, and point n is the point on CD. If ∠ amn = 60 °, try to judge the shape of △ amn and explain the reason (please use the method of congruent triangle)

A: △ amn is an equilateral triangle. It is proved that connecting AC with Mn at point F, crossing point m as me ‖ AC with ab at point E, in ∵ rhombic ABCD, ∵ bad = 120 °, ∵ ABC and △ ACD are equilateral triangles, ∵ BCD = 120 °, ∵ AB = BC, ∵ B = 60 °, ∵ BME are equilateral triangles, ∵ EM = BM = be, ∵ BEM = 60 °, ∵ AEM = 120 °, ∵ AEM = ∵ BCD, ∵ ab-be = bc-bm, i.e., AE = MC, ? AMC are equilateral triangles In △ AEM and △ MCN, 1 ＝ 2ae = MC ∠ AEM = MCN, ｜ △ AEM ≌ △ MCN (ASA), ｜ am = Mn, ≌ amn = 60 ° and ｜ amn = 60 ° are equilateral triangles

Example: 17km = 17 times 10 to the third power M = 1.7 times 10 to the fourth power M. Q: 275m=______ mm=_________ mm

275 times 10 to the third power = 2.75 times 10 to the fifth power

Help me, the children share pears. If there are three pears each, there will be 12 more. If there are five pears each, there will be six less. How many children and how many pears are there

Number of people: (12 + 6) / (5-3) = 9
Number of pears: 9 * 3 + 12 = 39
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The circumference of a rectangle is 100 cm. When the length of the rectangle decreases by 10 cm and the width increases by 10 cm
The rectangle just turns into a square. What's the length and width of the original rectangle

The original rectangle was 35 cm long and 15 cm wide

-1 + 3 + [- 5] + 7 + [- 9] +. + 2003 + [- 2005]
Speed. I'm doing my homework

Two pairs from the second
The original formula = - 1 + (- 2) * 501 = - 1003
1+3+(-5)+7+(-9)+``````+2003+(-2005)
=[-1+3]+[-5+7]+...+[-2001+2003]+[-2005]
=2+2+...+2-2005
=2*501-2005
=-1003

The train passes through a 256 meter long tunnel in 26 seconds (from the front to the rear to leave the exit), and then passes through a 96 meter long tunnel in 16 seconds at the same speed, which is the length of the train

Solution: let the train be x meters long
(256+X)/26=(96+X)/16
Do it yourself

The area of square ABCD is 20, the area of diamond pqcb is 20, find the area of shadow

The area of the shadow is 20 / 2 = 10