The given functions are
g(x) = 3x - 2
h(x) = 3x^2 + 1
To find g(6), we would substitute x = 6 into g(x) = 3x - 2
Thus,
g(6) = 3 * 6 - 2 = 18 - 2
g(6) = 16
To find h(6), we would substitute x = 6 into h(x) = 3x^2 + 1
Thus, we have
h(6) = 3(6)^2 + 1 = 108 + 1
h(6) = 109
Thus,
g(6) - h(6) = 16 - 109
g(6) - h(6) = - 93