Let f be a continuous, g be a discontinuous function. Prove that `f + g` is discontinuous function.

The discontinuous function of the following function is

f+g may be a continuous function,if (a) fis continuous and g is discontinuous

If f(x) be continuous function and g(x) be discontinuous, then

The function f(x) =cot x is discontinuous on set

Let f and g be two real functions;such that fog is defined.If g is continuous at x=a and f is continuous at g(a); show that fog is continuous at x=a

If f and g are two continuous functions on their common domain D then f+g and f-g is continuous on D.