Answer:
[tex]g(x) = -3x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x[/tex]
Required
Reflect over [tex]y = 0[/tex]
This means that we reflect over the x-axis
And the rule of reflection is:
[tex](x,y) \to (x,-y)[/tex]
Hence:
[tex]f(x) = 3x[/tex]
Will become:
[tex]g(x) = -f(x)[/tex]
So, we have:
[tex]g(x) = -3x[/tex]