(fg)(x)=(12-x)(2x^2)

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Solution for (fg)(x)=(12-x)(2x^2) equation:


Simplifying
(fg)(x) = (12 + -1x)(2x2)

Multiply fg * x
fgx = (12 + -1x)(2x2)

Remove parenthesis around (2x2)
fgx = (12 + -1x) * 2x2

Reorder the terms for easier multiplication:
fgx = 2x2(12 + -1x)
fgx = (12 * 2x2 + -1x * 2x2)
fgx = (24x2 + -2x3)

Solving
fgx = 24x2 + -2x3

Solving for variable 'f'.

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

Divide each side by 'gx'.
f = 24g-1x + -2g-1x2

Simplifying
f = 24g-1x + -2g-1x2

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