Question

http://prntscr.com/8tkmca

Answer 1

Notice that f(x) is a polynomial everywhere, but it is changing at x=3

you need to worry about just that point for continuity, because polynomials are continuous everywhere

Answer 2

How do i go about solving it then if I'm only looking at x=3? @ganeshie8

Answer 3

@triciaal

Answer 4

for the function to be continuous at \(x=3\), we must have :
\[\lim\limits_{x\to 3^{-}} f(x) = \lim\limits_{x\to 3^{+}}f(x) = f(3)\]

Answer 5

I know that scares you, just do this :

plugin \(x=3\) in both the pieces of the function,
set them equal to each other and solve \(k\)