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)

Reorder the terms:
gx = -1f(1 + x)
gx = (1 * -1f + x * -1f)
gx = (-1f + -1fx)

Solving
gx = -1f + -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 = -1fx-1 + -1f

Simplifying
g = -1fx-1 + -1f

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

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