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 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

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

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;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.

If f and g are two continuous functions on their common domain D then f.g and (f)/(g) is continuous on D provided g(x) is defined at that point.

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

If f and g are continuous and real valued function on an interval, then - (i) f+g is continuous on the interval, (ii) fg is continuous on the interval, (iii) (f)/(g) is continuous on the interval. which of the statements given above are correct ?