Answer to Question #83136 in Calculus for SIMANCHAL SAHOO

Question

3.Let f and h be functions, defined on R by
f(x) = x^3 — 3x^2 — 4x + 12 and
h(x)={f(x)/x-3, for x not equal to 3
{k for x = 3
(i) Find all the roots of f(x) = 0.
(ii) Find the value of k that makes h
continuous at x = 3.
(iii) Using the value of k found in
(ii) above, determine if h is an even function or not.