f(g(x))=x+6

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Solution for f(g(x))=x+6 equation: 


Simplifying
f(g(x)) = x + 6

Multiply g * x
f(gx) = x + 6

Multiply f * gx
fgx = x + 6

Reorder the terms:
fgx = 6 + x

Solving
fgx = 6 + x

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 + g-1

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

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

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