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

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

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

Let f(x) and g(x) be differentiable function in (a,b), continuous at a and b, and g(x)!=0 in [a,b]. Then prove that (g(a)f(b)-f(a)g(b))/(g(c)f'(c)-f(c)g'(c))=((b-a)g(a)g(b))/((g(c))^(2))