Test 8 Section 4 #30

First, don’t be intimidated by all the visuals here. This one is not nearly as bad as it looks.

Start by identifying the maximum of the graph of *f*. Hopefully you agree with me that the greatest *y*-value the graph reaches is 3, which it reaches when *x* = 4. So we know that the maximum value of *f* is 3. Therefore, *k* = 3.

From there, all you need to do is read the table and find *g*(3). What does the table say in the *g*(*x*) column when it has a 3 in the *x* column? That’s right, *g*(3) = 6, so the answer is 6.