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