[tex]f(x) = x^2 -3x + 4 \ \ \ g(x) = x - 2\\f \circ g(x) = f(g(x)) = (x-2)^2 - 3(x-2) + 4 = x^2 - 4x + 4 - 3x + 6 + 4 = x^2 - 7x + 14\\f \circ g(5) = 5^2 - 7\cdot5 + 14 = 25 - 35 + 14 = 4[/tex]
