for the function f,y=f(x) is inversely proportional to x, where x>0. If f (3)=6 what is the value of f(2)?
To determine the value of f(2) given that f(x) is inversely proportional to x, we can use the formula for inverse proportionality, which states that the product of the two variables is equal:
f(x) * x = k,
where k is a constant.
We are given that f(3) = 6, so we can substitute these values into the formula:
f(3) * 3 = k,
6 * 3 = k,
18 = k.
Now, we can use this value of k to find f(2):
f(2) * 2 = 18,
2 * f(2) = 18,
f(2) = 18 / 2,
f(2) = 9.
Therefore, the value of f(2) is 9.