Good morning, Brook. These kinds of problems confused me at first, too. All we are doing is taking what's inside the parentheses and repacing x with it.
g(x) = 4x + 15
Remember that 4x means 4(x), or long hand x + x + x + x.
g(4) = 4(4) + 15
g(4) = 16 + 15
g(4) = 31
Now, it doesn't ask for this, but remember that g(x) is the same thing as saying y. If we put 4 in for x, like we just did, y = 31, so our resulting point on the graph is (4,31).
g(6) = 4(6) + 15
g(6) = 24 + 15
g(6) = 39
(6,39)
Hope this helps!