Answer to Question #78867 in Calculus for Chinmayi

Question

For which value(s) of k, is the function f, defined as below, continuous at x =2?
f(x)={3-kx, 1less than equal x<2
{ x^2/4 - 3, x greater than equal 2

Further, at which other points in [1, infinity[ is continuous, and why?