f(g(x))=18x+1

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Solution for f(g(x))=18x+1 equation: 


Simplifying
f(g(x)) = 18x + 1

Multiply g * x
f(gx) = 18x + 1

Multiply f * gx
fgx = 18x + 1

Reorder the terms:
fgx = 1 + 18x

Solving
fgx = 1 + 18x

Solving for variable 'f'.

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

Divide each side by 'gx'.
f = g-1x-1 + 18g-1

Simplifying
f = g-1x-1 + 18g-1

Reorder the terms:
f = 18g-1 + g-1x-1

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