Question

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

Answer 1

Answer:

$f(x) = \frac{6}{x}$

Step-by-step explanation:

Inverse variation equation : $y \propto \frac{1}{x}$

$y = \frac{k}{x}$

$f(x) = \frac{k}{x}$

where k is the constant of proportionality

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

Substitute the values :

$3= \frac{k}{2}$

$k=6$

So, $f(x) = \frac{6}{x}$

So, Inverse variation equation :$f(x) = \frac{6}{x}$

Answer 2

inverse variation

xy =k

2*3 =k

6=k

xy=6

or it can be written as

y = k/x

y = 6/x