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Assume that f(3) = 4. Name a point that must be on the graph of y= (5 + f(2x/3))/11$.

 Jun 13, 2024
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We know that \(f(3)=4\), this will be very important. 

 

Now, in the second equation, notice that we have \(f(2x/3)\). The only value of f(x) we know is when the x is 3. 

So, we want \(2x/3=3\)

 

Solving for this, we get \(x=9/2\)

 

So, now we have 

\(y=(5 + f(3))/11\\ y=(5 + 4)/11\\ y=9/11\)

 

This means that \((9/2, 9/11)\) must be on the graph.

 

So our answer is \((9/2, 9/11)\)

 

Thanks! :)

 Jun 13, 2024

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