Write the function rule g(x) after the given transformations of the graph of f(x) = 9x
reflection in the x-axis; vertical compression by a factor of 1/3
To reflect the graph of f(x) = 9x in the x-axis, we negate the function, which gives us f(-x) = -9x.
To vertically compress the graph by a factor of 1/3, we multiply the function by 1/3, which gives us g(x) = (-9x) * (1/3) = -3x.
Therefore, the function rule g(x) after the given transformations of the graph of f(x) = 9x is g(x) = -3x.