Answer: C. 16.
Step-by-step explanation:
We are given inverse relation between f(x) and x.
The function f(x) varies inversely with x.
Inverse relation could be written as
f(x) = [tex]\frac{k}{x}[/tex].
We also given f(x) = 4 when x = 12.
Plugging f(x) = 4 and x=12 in the above inverse relation to get the value of constant k.
[tex]4=\frac{k}{12}[/tex].
On cross multiplying, we get
12× 4 = [tex]12 \times \frac{k}{12}[/tex]
48 = k
Now, we need to find f(x) for x=3.
Plugging k=48 and x=3 in inverse relation, we get
[tex]f(x) = \frac{48}{3} = 16[/tex].
Therefore, f(x)=16 when x=3.
