Two rays that meet at the same point
2 answers:
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The two pieces are continuous for every
So, our only concern is to make sure that the pieces "glue" continuously at x=7.
To ensure this, we evaluate both pieces at x=7, and impose that the two values are equal.
The first piece evaluates to
The second piece evaluates to
So, we want
We move all terms involving c to the left hand side, and all the numerical constants on the right hand side: