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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))/11y=(5+4)/11y=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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