Answer to Question #84747 in Calculus for nsahoo

Question #84747

For which values of k, is the function f, defined as below, continuous at x = 2 ?
f(x)={3-kx, 1≤x<2
{x^2/4 -3, x≥2
Further, at which other points in [1,∞[ is f continuous, and why?

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