(1) f(x) = x² - 4x + 2, g(x) = 3x - 7
(f o g) (x) = f(g(x)) = f (3x - 7)
= (3x - 7)² - 4(3x - 7) + 2
= (9x² - 42x + 49) + (-12x + 28) + 2
= 9x² - 57x + 79
(2) g(x) = -6x + 5, h(x) = -9x - 11
(g o h) (x) = g(h(x)) = g (-9x - 11)
= -6(-9x - 11) + 5
= 54x + 66 + 5
= 54x + 71
(3) f(x) = √(2x - 5), g(x) = 5x² - 3
(g o f) (x) = g(f(x)) = g(√(2x - 5))
= 5 (√(2x - 5))² - 3
= 5 (2x - 5) - 3
= 10x - 25 - 3
= 10x - 28