f. (5 pts) Let f(2) be a rational function: f = 23, for polynomials P, Q, with Q not identically 0. Show (using the Fund
Posted: Wed May 11, 2022 9:25 pm
f. (5 pts) Let f(2) be a rational function: f = 23, for polynomials P, Q, with Q not identically 0. Show (using the Fundamental Theorem of Algebra) that, if f is non-constant, then for all but finitely many points w e C, there exists a solution z of the equation f(x) = w. Also give a specific example of a rational function f and a number w so that f(x) = w has no solution 2.