Hi I have a question which I know has already sort of been put onto this site, but I really don't understand how to approach this or whether it is true or false.
I know that if $f$ and $g$ is continuous at $a$, then $f+g$ is continuous at $a$.
Question: True or False and state why... If neither $f$ nor $g$ is continuous at $a$, then $f+g$ is not continuous at $a$.
I'm unsure how to substantiate whether the question is true or false and why. Can anyone help me please?