inverse variation
xy =k
2*3 =k
6=k
xy=6
or it can be written as
y = k/x
y = 6/x
Answer:
[tex]f(x) = \frac{6}{x}[/tex]
Step-by-step explanation:
Inverse variation equation : [tex]y \propto \frac{1}{x}[/tex]
[tex]y = \frac{k}{x}[/tex]
[tex]f(x) = \frac{k}{x}[/tex]
where k is the constant of proportionality
We are given that f(x)=3 when x=2
Substitute the values :
[tex]3= \frac{k}{2}[/tex]
[tex]k=6[/tex]
So, [tex]f(x) = \frac{6}{x}[/tex]
So, Inverse variation equation :[tex]f(x) = \frac{6}{x}[/tex]
