Answer:
3
Step-by-step explanation:
given f(x) varies inversely with x then the equation connecting them is
f(x) = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
to find k use the given condition f(x) = 6 when x = 4, then
k = xf(x) = 4 × 6 = 24, hence
f(x) = [tex]\frac{24}{x}[/tex] ← variation equation
when x = 8, then
f(x) = [tex]\frac{24}{8}[/tex] = 3
