Question

What is the inverse variation equation if f(x)=3 when x=2?

Answer 1

inverse variation

xy =k

2*3 =k

6=k

xy=6

or it can be written as

y = k/x

y = 6/x

Answer 2

`f(x) = (6)/(x)`

Explanation:

Inverse variation equation :
`y \propto (1)/(x)`

`y = (k)/(x)`

`f(x) = (k)/(x)`

where k is the constant of proportionality

We are given that f(x)=3 when x=2

Substitute the values :

`3= (k)/(2)`

`k=6`

So,
`f(x) = (6)/(x)`

So, Inverse variation equation :
`f(x) = (6)/(x)`