Why is it that if two functions f,g are not contionuous, then f+g and f-g cannot be contionuous simultaneously
2006-10-25 06:20:51 · 3 answers · asked by joe s 1 in Science & Mathematics ➔ Mathematics
suppose f is discontinous in say x=a
then by adding an appropriate value b to f it becomes continuous ( this is the function g(a)=b )
now if you subtract this appropriate value b it will not remove the discontinuity in f(a) because you had to add the b and not subtract.
2006-10-25 06:27:23 · answer #1 · answered by gjmb1960 7 · 0⤊ 0⤋
If both f + g and f - g are continuous then so are their sum, 2f, and their difference, 2g, and therefore also multiples of these, f and g.
Contradiction!
2006-10-25 06:42:35 · answer #2 · answered by p_ne_np 3 · 0⤊ 0⤋
What, you can't add letters.. are you nuts?!
2006-10-27 19:02:03 · answer #3 · answered by Robin A 1 · 0⤊ 0⤋