Answer: [tex]g(x)=\frac{1}{2}f(x)[/tex]
Step-by-step explanation:
We see that g(x) is a straight line that passes through the origin, just like f(x), so g(x)=kx for some constant k.
Since g(x) passes through (4,2), we know that 2=4k, and thus k=1/2.
So, [tex]\boxed{g(x)=\frac{1}{2}f(x)}[/tex]
