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g(x) = 3x - 7
a) (g o f)(x) = g(x² - 4x + 2)
= 3(x² - 4x + 2) - 7
= 3x² - 12x - 1
b) (f o g)(x) = f(3x - 7)
= (3x - 7)² - 4(3x - 7) + 2
= 9x² - 42x + 49 - 12x + 30
= 9x² - 54x + 79
c) (g o f)(5) = g(5² - 4(5) + 2)
= g(7)
= 3(7) - 7
= 14
d) (f o g)(10) = f(3(10) - 7)
= f(23)
= 23² - 4(23) - 7
= 529 - 92 - 7
= 430