To provide an equation for \( g(x) \) as a transformation of the graph of \( f(x) = 3x \), we would need specific information about the transformations applied (such as vertical shifts, horizontal shifts, reflections, or stretches/compressions).
Common transformations include:
- Vertical Shift: \( g(x) = 3x + k \) (where \( k \) is a constant)
- Horizontal Shift: \( g(x) = 3(x - h) \) (where \( h \) is a constant)
- Reflection: \( g(x) = -3x \) (reflection across the x-axis)
- Stretch/Compression: \( g(x) = a(3x) \) (where \( a \) is a scaling factor)
- Combination of transformations: For example, \( g(x) = a(3(x - h)) + k \).
If you provide the specific transformation(s) you want to apply to \( f(x) \), I can give you the exact form of \( g(x) \).