(a) State the separate algebraic conditions that must hold for a function of the form f(x)=q(x)p(x), where p(x) and q(x) are real polynomials, to be defined for a real number x.
(b) Give a clear justification, in words, why the domain of f is obtained by taking the intersection of the solution sets of the conditions stated in part (a).
(c) Without actually solving them, list all the individual constraints on x that you would need to consider while finding the domain of the specific function
f(x)=x2−4x2−5x+6.