g(x)=3f(x-2)+2

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Solution for g(x)=3f(x-2)+2 equation: 


Simplifying
g(x) = 3f(x + -2) + 2

Multiply g * x
gx = 3f(x + -2) + 2

Reorder the terms:
gx = 3f(-2 + x) + 2
gx = (-2 * 3f + x * 3f) + 2
gx = (-6f + 3fx) + 2

Reorder the terms:
gx = 2 + -6f + 3fx

Solving
gx = 2 + -6f + 3fx

Solving for variable 'g'.

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

Divide each side by 'x'.
g = 2x-1 + -6fx-1 + 3f

Simplifying
g = 2x-1 + -6fx-1 + 3f

Reorder the terms:
g = 3f + -6fx-1 + 2x-1

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