Write the function rule g(x) after the given transformations of the graph of f(x) = 4x
reflection in the x-axis; vertical compression by a factor of 1/8
To reflect the graph of f(x) = 4x in the x-axis, we need to negate the function. So, we have -f(x) = -4x.
To vertically compress the graph by a factor of 1/8, we need to multiply the function by 1/8. So, we have g(x) = (-4x) * (1/8) = -1/2x.
Therefore, the function rule g(x) after the given transformations of the graph of f(x) = 4x is g(x) = -1/2x.