[tex]f (x) = x^4+4x^3-2x^2-12x+9[/tex]
[tex]g(x)=\sqrt{x^2+2x-3}[/tex]
[tex]h(x)=\frac{-x^2+1}{x^2+2x-3}[/tex]

Part A: Use complete sentences to compare the domain and range of the polynomial function f (x) to that of the radical function g(x). (5 points)

Part B: How do the breaks in the domain of h (x) relate to the zeros of f (x)? (5 points)