F(g(x))=x^2+6x+10

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Solution for F(g(x))=x^2+6x+10 equation: 


Simplifying
F(g(x)) = x2 + 6x + 10

Multiply g * x
F(gx) = x2 + 6x + 10

Multiply F * gx
gxF = x2 + 6x + 10

Reorder the terms:
gxF = 10 + 6x + x2

Solving
gxF = 10 + 6x + x2

Solving for variable 'g'.

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

Divide each side by 'xF'.
g = 10x-1F-1 + 6F-1 + xF-1

Simplifying
g = 10x-1F-1 + 6F-1 + xF-1

Reorder the terms:
g = 6F-1 + 10x-1F-1 + xF-1

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