Suppose the line tangent to the graph of f at x = 2 is y = 4x + 1 and suppose the line tangent to the graph of g at x = 2 has slope 3 and passes through (0, -2). Find an equation of the line tangent to the following curves at x = 2.

a. y = f(x) + g(x)

b. y = f(x) - 2g(x)

c. y = 4f(x)