g(x)=3f(-(x+4))-1

Solution for g(x)=3f(-(x+4))-1 equation:

Simplifying
g(x) = 3f(-1(x + 4)) + -1

Multiply g * x
gx = 3f(-1(x + 4)) + -1

Reorder the terms:
gx = 3f(-1(4 + x)) + -1
gx = 3f((4 * -1 + x * -1)) + -1
gx = 3f((-4 + -1x)) + -1
gx = (-4 * 3f + -1x * 3f) + -1
gx = (-12f + -3fx) + -1

Reorder the terms:
gx = -1 + -12f + -3fx

Solving
gx = -1 + -12f + -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 = -1x-1 + -12fx-1 + -3f

Simplifying
g = -1x-1 + -12fx-1 + -3f

Reorder the terms:
g = -3f + -12fx-1 + -1x-1