## anonymous 3 years ago Determine the value of c so that f(x) is continuous on the entire real line if: f(x) = {x^2 for x< or = 3; c/x for x >3}

1. anonymous

this is much easier than you think

2. anonymous

replace $$x$$ by $$3$$ in the first expression, get $$3^2=9$$ then set $$\frac{c}{3}=9$$ and solve for $$c$$

3. anonymous

then they will agree when $$x=3$$ and so it will be continuous

4. anonymous

Wow. :( Math always seems so much harder than you think.

5. anonymous

yeah, but once you know it it gets much easier think about when you were learning to add fractions (which is harder than this!)