f(-x)-f(x)=x^3-x+9

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Solution for f(-x)-f(x)=x^3-x+9 equation:


Simplifying
f(-1x) + -1f(x) = x3 + -1x + 9

Remove parenthesis around (-1x)
f * -1x + -1f(x) = x3 + -1x + 9

Reorder the terms for easier multiplication:
-1f * x + -1f(x) = x3 + -1x + 9

Multiply f * x
-1fx + -1f(x) = x3 + -1x + 9

Multiply f * x
-1fx + -1fx = x3 + -1x + 9

Combine like terms: -1fx + -1fx = -2fx
-2fx = x3 + -1x + 9

Reorder the terms:
-2fx = 9 + -1x + x3

Solving
-2fx = 9 + -1x + x3

Solving for variable 'f'.

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

Divide each side by '-2x'.
f = -4.5x-1 + 0.5 + -0.5x2

Simplifying
f = -4.5x-1 + 0.5 + -0.5x2

Reorder the terms:
f = 0.5 + -4.5x-1 + -0.5x2

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