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:
[tex]f(x) = \frac{k}{x}[/tex]
where k is the proportionality constant
So,
[tex]8 = \frac{k}{3}\\8 * 3 = k\\k = 24[/tex]
Now the equation will be:
[tex]f(x) = \frac{24}{x}\\Putting\ x=2\\f(x) = \frac{24}{2}\\f(x) = 12[/tex]
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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