F(g)=cos^2(3x)

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Solution for F(g)=cos^2(3x) equation: 


Simplifying
F(g) = cos2(3x)

Multiply F * g
gF = cos2(3x)

Remove parenthesis around (3x)
gF = cos2 * 3x

Reorder the terms for easier multiplication:
gF = 3cos2 * x

Multiply cos2 * x
gF = 3cos2x

Solving
gF = 3cos2x

Solving for variable 'g'.

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

Divide each side by 'F'.
g = 3cos2xF-1

Simplifying
g = 3cos2xF-1

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