Answer: Last option.
Step-by-step explanation:
By definition, Inverse variation equations have this form:
[tex]y=\frac{k}{x}[/tex]
Where "k" is the constant of variation.
In this case, it is:
[tex]g(n)=\frac{k}{n}[/tex]
Knowing that [tex]g(n) = 8[/tex] when [tex]n = 3[/tex], we can substitute values into the equation and solve for "k":
[tex]8=\frac{k}{3}\\\\8*3=k\\\\k=24[/tex]
Therefore, we can find the value of "n" when [tex]g(n) = 6[/tex] by substiuting this value and the value of "k" into the equation and solving for "n". Then:
[tex]6=\frac{24}{n}\\\\6n=24\\\\n=\frac{24}{6}\\\\n=4[/tex]
