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3-41.

Let $f(x)=x^2$ and let $g(x)=-x^2+2x+4$. Determine the points where the graphs of $y=f(x)$ and $y=g(x)$ intersect.

Set the two functions equal to each other. Solve for $x$. You should get two values for $x$.
Then solve for the $y$-coordinate associated with each $x$.