The function f(x) varies inversely with x and f(x) = 6 when x = 4. what is f(x) when x = 8? a.24 b.3 c.12 d.10

3

Step-by-step explanation:

given f(x) varies inversely with x then the equation connecting them is

f(x) = ← 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) = ← variation equation

when x = 8, then

f(x) = = 3