Answer:
\(12\)
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 \(y*x=k\) or \(y=k/x\)
In this problem we have
For \(x=3\) -----> \(f(x)=8\)
so
Find the value of k
\(f(x)*x=k\)
substitute the value of x and f(x)
\(8*3=k\)
\(k=24\)
therefore
the equation is equal to
\(f(x)=24/x\)
For \(x=2\) -------> substitute in the equation and find the value of f(x)
\(f(x)=24/2=12\)
