g(x)=2f(x-1)+3

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Solution for g(x)=2f(x-1)+3 equation:


Simplifying
g(x) = 2f(x + -1) + 3

Multiply g * x
gx = 2f(x + -1) + 3

Reorder the terms:
gx = 2f(-1 + x) + 3
gx = (-1 * 2f + x * 2f) + 3
gx = (-2f + 2fx) + 3

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

Solving
gx = 3 + -2f + 2fx

Solving for variable 'g'.

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

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

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

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

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