Suppose that $$f(x) = (3x+1)^{1/5}.$$
(A) Find an equation for the tangent line to the graph of $f(x)$ at $x = 1$.

Tangent line: $y$ =

(B) Find all values of $x$ where the tangent line is horizontal, and enter them as a comma separated list (e.g., 2,-3,6). If there are none, enter none.

Values of $x$ =