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Gwar [14]
3 years ago
12

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

Mathematics
1 answer:
user100 [1]3 years ago
5 0

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

#LearnwithBrainly

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