Answer:
[tex]12[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem we have
For [tex]x=3[/tex] -----> [tex]f(x)=8[/tex]
so
Find the value of k
[tex]f(x)*x=k[/tex]
substitute the value of x and f(x)
[tex]8*3=k[/tex]
[tex]k=24[/tex]
therefore
the equation is equal to
[tex]f(x)=24/x[/tex]
For [tex]x=2[/tex] -------> substitute in the equation and find the value of f(x)
[tex]f(x)=24/2=12[/tex]
