" If "f" is continuous on its domain "D" ,then "|f|" is also continuous on "D" ."

If is continuous on its domain D; then |f| is also continuous on D

Consider the following statement in respect of a function f(x): 1. f(x) is continuous at x =a iff lim_(xtoa) f(x) exists. 2. If f(x) is continuous at a point, then (1)/(f(x)) is also continuous at that point. Which of the above, statements is/are corrent?

If f(x) is continuous function , then

If f is continuous and g is a discontinuous function then f+g is continuous function.

Statement-1: If |f(x)|<=|x| for all x in R then |f(x)| is continuous at 0. Statement-2: If f(x) is continuous then |f(x)| is also continuous.

Statement-1: If |f(x)| le |x| for all x in R then |f(x)| is continuous at 0. Statement-2: If f(x) is continuous then |f(x)| is also continuous.

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

Statemant I : If f is continuous , then |f| is continuous Statement II : If |f| is continuous, then f is also continuous Which one of the following is true

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