## MoonlitFate Group Title 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} one year ago one year ago

1. satellite73 Group Title

this is much easier than you think

2. satellite73 Group Title

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

3. satellite73 Group Title

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

4. MoonlitFate Group Title

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

5. satellite73 Group Title

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