The question is asking us to find [tex] f(x) - g(x) - h(x) [/tex]. Since we know that [tex] f(x) = 3x + 5 [/tex], [tex] g(x) = 4x^2 - 2 [/tex], and [tex] h(x) = x^2 - 3x + 1 [/tex] we can substitute these values into the original expression and simplify:
[tex] f(x) - g(x) - h(x) [/tex]
[tex] f(x) - g(x) - h(x) = (3x + 5) - (4x^2 - 2) - (x^2 - 3x + 1) [/tex]
[tex] f(x) - g(x) - h(x) = \boxed{-5x^2 + 6x + 6} [/tex]
