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

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


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

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

Multiply f * x
gx = -1fx + 1

Reorder the terms:
gx = 1 + -1fx

Solving
gx = 1 + -1fx

Solving for variable 'g'.

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

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

Simplifying
g = x-1 + -1f

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

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