Thread: Discontinuous functions

Give an example of a function f and g such that both are discontinuous at some value c in the Reals and

a.)the sum f+g is continuous at c

b.)the product fg is continuous at c

Originally Posted by jkru

Give an example of a function f and g such that both are discontinuous at some value c in the Reals and

a.)the sum f+g is continuous at c

b.)the product fg is continuous at c

a)







f and g are not continious in x=0

Originally Posted by jkru

Give an example of a function f and g such that both are discontinuous at some value c in the Reals and

a.)the sum f+g is continuous at c

b.)the product fg is continuous at c

And consider

If that does not suffice I can give you more specific examples

I've tried a couple different equations like you suggested, but I am unable to get equations that are discontinuous at the same value. Any tips on how pick equations so this will happen? Thanks for your help.

Never mind. I just found an f and g that worked. Thanks!