If `f.g` is continuous at `x = 0` , then f and g are separately continuous at `x = 0`.

If f.g is continuous at x=a, then f and g are separately continuous at x= a.

If f*g is continuous at x=a, then f and g are separately continuous at x=a.

Let f and g be two real functions; continuous at x=a Then f+g and f-g is continuous at x=a

Let f(x)=[x], where [.] is the greatest integer fraction and g(x)=sin x be two valued functions over R. Which of the following statements is correct? (a) Both f(x) and g(x) are continuous at x=0 (b) f(x) is continuous at x=0, but g(x) is not continuous at x=0. (c) g(x) is continuous at x=0, but f(x) is not continuous at x=0. (d) Both f(x) and g(x) are discontinuous at x=0

If f and g are both continuous at x = a, then f-g is

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

Let f and g be two real functions; continuous at x=a Then fg and (f)/(g) ia continous at x=a; provided g(a)!=0

Let f and g be two real functions; continuous at x=a Then alpha f and (1)/(f) is continuous at x=a provided f(a)!=0 and alpha is a real number