![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Any function f (x) defined on R can be expressed as the sum of an odd function g (x) and an even function H (x), X belongs to R, then, A,g（x）=x,h（x）=lg(10^x+10^-x+2) B,g(x)=1/2lg(10^x+1+x),h(x)=1/2lg(10^x+1+x) c,g(x)=1/2x,h(x)=lg(10^x+1)-x/2 D,g(x)=-1/2x,h(x)=lg(10^x+1)+x/2 Why not D
C H (x) = LG (10 ^ x + 1) - X / 2, then
h(-x)=lg(10^(-x)+1)+x/2
=lg[(1+10^x)/10^x]+x/2
=lg(10^x+1)-lg10^x+x/2
=lg(10^x+1)-x+x/2
=lg(10^x+1)-x/2
=H (x) is an even function
D is not even!
RELATED INFORMATIONS
- 1. A square with a side length of 4 decimeters, take one side of it as the axis, and rotate the square for one circle to get a square______ What is the volume of this body______ Cubic decimeter
- 2. The formula of mathematics practical problems in grade six
- 3. 1+2-3-4+5+6-7-8+9+10-11-12······-2003-2004+2005+2006-2007-2008+2009+2010=?
- 4. I go to the library every day
- 5. When x=______ F (x) = (x-a1) 2 + (x-a2) 2 + +(x-am) 2 is the minimum
- 6. My mother said to Xiao Ming, "I'll go to the unit for a meeting this afternoon, and I won't pick you up after school."?
- 7. Math score, 24 and 3 of 11-15 + 6 and 6 of 1 To calculate the process
- 8. There are 1500 literature and art books in the library, 30 less than 3 times of science and technology books. How many science and technology books are there?
- 9. 833 - (218 + 233) simple operation It's due tomorrow!
- 10. How many kinds of words can be divided?
- 11. Number reasoning questions 1,3,4,6,11,19, ()
- 12. How many grams per square meter is an ounce per square yard
- 13. 5 out of 8 meters represents a fraction of 1 meter and a fraction of several meters
- 14. What does C mean in the area of a circle?
- 15. 2 / 7,3 / 11,1 / 3,7 / 19
- 16. Let the density function of random variable X be symmetric with respect to x = u, and prove that its distribution function satisfies the following requirements: F (U + x) + F (u-x) = 1 (x is between positive and negative infinity)
- 17. Three fifths of a number is nine fifths of a number. What's five sixths of a number?
- 18. What is the general formula of 1,1,2,3,4,5,6,7,8,9,10?
- 19. Number reasoning 8,11,4,5,21,20,11 () Civil servants, why
- 20. If x = 1 and 1 / 5 minus 9 / 20, y = 1 and 9 / 5 times 6 / 7, then are x and Y reciprocal