g(x)=-f(x-3)

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Solution for g(x)=-f(x-3) equation:


Simplifying
g(x) = -1f(x + -3)

Multiply g * x
gx = -1f(x + -3)

Reorder the terms:
gx = -1f(-3 + x)
gx = (-3 * -1f + x * -1f)
gx = (3f + -1fx)

Solving
gx = 3f + -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 = 3fx-1 + -1f

Simplifying
g = 3fx-1 + -1f

Reorder the terms:
g = -1f + 3fx-1

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