Transcript For the function ƒ, y = ƒ(x) is inversely proportional to x, where x > 0.

For the function ƒ, y = ƒ(x) is inversely proportional to x, where x > 0. If ƒ(3) = 6,
what is the value of ƒ(2)?
(a)
4
(b)
8
(c)
9
(d) 12
(e) 18
Difficulty: Hard
Answer C:
Explanation
Since y = ƒ(x) is inversely proportional to x, it follows that
ƒ(x) =
c:
for some constant c. You can use ƒ(3) = 6 to find the value of
= 6, so c = 18.
Therefore, ƒ(2) =
= 9.