A function ๐‘“(๐‘ฅ) has the property that, for all positive ๐‘ฅ, 3๐‘“(๐‘ฅ)+7๐‘“(2016๐‘ฅ)=2๐‘ฅ.What is the value of ๐‘“(8)?

Question

A function ๐‘“(๐‘ฅ) has the property that, for all positive ๐‘ฅ, 3๐‘“(๐‘ฅ)+7๐‘“(2016๐‘ฅ)=2๐‘ฅ.What is the value of ๐‘“(8)?
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Solution 1

To solve this problem, we need to find a pattern or relationship that can help us determine the value of f(8).

  1. Let's start by setting x = 1/2016 in the given equation. We get:

    3f(1/2016) + 7f(1) = 2/2016

  2. Now, let's set x = 1 in the given equation. We get:

    3f(1) + 7f(2016) = 2

  3. Fr Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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