Given that f (x) is an odd function, G (x) is an even function, and f (x) + G (x) = 1 / (2x + 1), find the expressions of F (x) and G (x)

Given that f (x) is an odd function, G (x) is an even function, and f (x) + G (x) = 1 / (2x + 1), find the expressions of F (x) and G (x)


f(x)+g(x)=1/(2x+1)①
f(-x)+g(-x)=1/(-2x+1)
-f(x)+g(x)=1/(-2x+1)②
① (2) simultaneous, solution
g(x)=1/(1-4x^2).
f(x)=2x/(4x^2-1).



F (x) is odd function, G (x) is even function, and f (x) - G (x) = x2-2x-3, try to find the expression of F (x) + G (x)


Because f (x) is odd and G (x) is even
So after substituting - x, we get: F (- x) - G (- x) = - f (x) - G (x)
=-(f(x)+g(x))
=-(x2-2x-3)



It is known that f (x) is an odd function, G (x) is an even function, and f (x) - G (x) = x ^ 2 + 2x-3


f(-x)-g(-x)=x^2-2x-3
-f(x)-g(x)=x^2-2x-3
And f (x) - G (x) = x ^ 2 + 2x-3
So if you add the two, you get
-2g(x)=2x^2-6
So g (x) = - x ^ 2 + 3



If f (x) is an even function, G (x) is an odd function, and f (x) + G (x) = x & # 178; + 2x-2, find the analytic expressions of F (x) and G (x)


f(-x)+g(-x)=f(x)-g(x)=x^2-2x-2 ...(1)
f(x)+g(x)=x^2+2x-2 ...(2)
From (1) (2)
f(x)=x^2-2
g(x)=2x



3 hectares 500 square meters equals () hectares 8.4 hours equals () hours () minutes


Hello, Wang Yuanhao
1 hectare = 10000 square meters, so: 3 hectare 500 square meters = (3.05) hectare
1:00 = 60, so 8.4:00 = 8:00 (24)



2010! The way of connectives!
We read more, watch more and accumulate more
We can improve our Chinese accomplishment
(use related words to form sentences with different meanings)
Because that's why and only have they been used


As long as



Zinc deficiency in children can cause anorexia and dysplasia,
_____________________
|Ingredient: zinc gluconate|
C12 H22 O14 Zn|
|Zinc content: 5.0mg/piece|
|Mass: 10.0g/piece|
_____________________
If children need 0.5mg zinc per day for 1kg body weight, they can only take half of zinc per day from food. How many pieces of oral liquid can a child with 20kg body weight take per day to meet the needs of the body?
Requirements: there must be quite detailed steps, thank you!


I'm an expert. I'm here. I need 5mg zinc for 20kg. One bottle is 5mg. So, it's just a bottle. Lao Zhang, I can do it



70000 cubic zero meters = how many cubic decimeters


70000 CC = 70 cubic decimeter



How many tens are there in unit 780 of mathematics test paper 12 in volume two of primary school


78 tens



1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + +... + 100 formula
What is the formula like 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +... + n


Gauss formula for the number of multiplicative terms of the first term plus the last term divided by 2