Answer:
The inverse variation equation is f(x) = 6/x.
Step-by-step explanation:
Given:
f(x)=3 when x=2
Now, for inverse variation equation :
[tex]y\propto\frac{1}{x}[/tex]
[tex]y=\frac{k}{x}[/tex]
[tex]f(x)=\frac{k}{x}[/tex]
Here k is the constant of proportionality.
And, then we substitute the values:
[tex]3=\frac{k}{2}[/tex]
[tex]k=6[/tex]
So,[tex]f(x)=\frac{6}{x}[/tex]
Therefore, the inverse variation equation is f(x) = 6/x.
