Question

function question

Answer 1

Find k so that the following function is continuous on any interval:\[j(x)=kcosx~~~~x \le0\]\[j(x)=e ^{x}-k~~~~x >0\]

Answer 2

\[\Large\rm j(x)=\cases{k \cos x, &$\rm x\le0$\\ \rm e^x-k, &$\rm x\gt0$}\]

Answer 3

So ummm...

Answer 4

Yes, I wasn't sure how to get them together. kcosx=e^x-k?

Answer 5

On the left side, we have some kind of cosine,
on the right side, an exponential,