Question

The function f (2) varies inversely with x and f (a) = 8 when x = 3.

Answer 1

f(x) = 12 when x=2

Step-by-step explanation:

Given that

f(x) is inversely proportional to x

This is mathematical written as

f(x) ∝1/x

It can be written as:

$f(x) = \frac{k}{x}$

where k is the proportionality constant

So,

$8 = \frac{k}{3}\\8 * 3 = k\\k = 24$

Now the equation will be:

$f(x) = \frac{24}{x}\\Putting\ x=2\\f(x) = \frac{24}{2}\\f(x) = 12$

Hence,

f(x) = 12 when x=2

Keywords: Inverse proportion

Learn more about proportion at:

• brainly.com/question/1289682
• brainly.com/question/12892285

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