Question

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

Answer 1

Answer:

$12$

Step-by-step 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)

$f(x)=24/2=12$

Answer 2

I hope this helps you