f(g(x))=2x^2+11x-6

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Solution for f(g(x))=2x^2+11x-6 equation:


Simplifying
f(g(x)) = 2x2 + 11x + -6

Multiply g * x
f(gx) = 2x2 + 11x + -6

Multiply f * gx
fgx = 2x2 + 11x + -6

Reorder the terms:
fgx = -6 + 11x + 2x2

Solving
fgx = -6 + 11x + 2x2

Solving for variable 'f'.

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

Divide each side by 'gx'.
f = -6g-1x-1 + 11g-1 + 2g-1x

Simplifying
f = -6g-1x-1 + 11g-1 + 2g-1x

Reorder the terms:
f = 11g-1 + -6g-1x-1 + 2g-1x

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