If you are doing $f(x)$ and $g(x)$ of a tangent/cotangent function and you get an amplitude. Should you write the final equation with or without the amplitude because technically tan and cot don't have amplitudes.
i.e. $$F(x) = \cot x + 1$$ $$G(x) = 3f(x+3) + 1$$ $$G(x) = 3\cot(x+3) + 2$$
Would you write $G(x) = \cot(x+3) + 2$ because there is no amplitude?