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

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

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

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

Remove parenthesis around (2x)
gx = 3f * 2x + 1

Reorder the terms for easier multiplication:
gx = 3 * 2f * x + 1

Multiply 3 * 2
gx = 6f * x + 1

Multiply f * x
gx = 6fx + 1

Reorder the terms:
gx = 1 + 6fx

Solving
gx = 1 + 6fx

Solving for variable 'g'.

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

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

Simplifying
g = x-1 + 6f

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