f(x)+f(-x)=2f(x)

Simple and best practice solution for f(x)+f(-x)=2f(x) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for f(x)+f(-x)=2f(x) equation:


Simplifying
f(x) + f(-1x) = 2f(x)

Multiply f * x
fx + f(-1x) = 2f(x)

Remove parenthesis around (-1x)
fx + f * -1x = 2f(x)

Reorder the terms for easier multiplication:
fx + -1f * x = 2f(x)

Multiply f * x
fx + -1fx = 2f(x)

Combine like terms: fx + -1fx = 0
0 = 2f(x)

Multiply f * x
0 = 2fx

Solving
0 = 2fx

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-2fx' to each side of the equation.
0 + -2fx = 2fx + -2fx
Remove the zero:
-2fx = 2fx + -2fx

Combine like terms: 2fx + -2fx = 0
-2fx = 0

Divide each side by '-2'.
fx = 0

Simplifying
fx = 0

The solution to this equation could not be determined.

See similar equations:

| 6(5x-2)=168 | | mn+n=7m | | 6x-(3x-6)=18 | | x^4-9x^2-20=0 | | 3cosx+5sinx=4 | | 4x-(5x-4)=12+3x | | 7-2x-1=10 | | 32-5x=11-8x | | 2x+8=-12-3x | | 2x-4=6x+7 | | 4-4x=3x-59 | | 2(3x+4)-3(4x-5)=5 | | 2(3x+4)-3(4x-5)=0 | | 9x+7=-41+x | | x^3-x=3360 | | x(3x-16)=1904 | | x(3x-4)=1904 | | 55=15t+t-17 | | 9. 55=15t+t-17 | | 4x+7=38 | | 8. 4x+7=38 | | 5(x+10)=-425 | | 0.66(3x-7)=-4 | | 3(x+1)+x=-9 | | 3x-12xy= | | 3x+4=7-(7x-3) | | XY+X+Y=90 | | 69-2n=21+4n | | 2(3x+4)=29 | | 38-3n=6+5n | | 2(x-3)+1=1 | | 4x+9=9-(8x-8) |

Equations solver categories