The max value of g(x) is a little more than 5.
What is the max of f(x)? Find the vertex of f(x) = -2x^2 + 8x - 1.
Here a = -2, b = 8; and c = -1.
Then the vertex x-coordinate is x = -8/(2[-2]), or x = 8/4, or x = 2.
The y coord. of the vertex, which is the max of f(x), is f(2) = 7.
f(x) has the larger maximum, because 7 is greater than "a little more than 6."