Question

The function f(x) varies inversely with x and f(x)=8 when x=3

what is f(x) when x=2
12
14
22
48

Answer 1

I hope this helps you

Answer 2

`12`

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`