Home
Class 12
MATHS
f+g may be a continuous function, if (a)...

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

A

f is continuous and g is discontinuous (B) f is discontinuous and g is continuous

B

f is discontinuous and g is continuous

C

f and g are discontinuous

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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(x) is continuous function , then

is f(x)=|x| a continuous function?

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

Statement I f(x) = sin x + [x] is discontinuous at x = 0. Statement II If g(x) is continuous and f(x) is discontinuous, then g(x) + f(x) will necessarily be discontinuous at x = a.

Which of the following statements is always true? ([.] represents the greatest integer function. a) If f(x) is discontinuous then |f(x)| is discontinuous b) If f(x) is discontinuous then f(|x|) is discontinuous c) f(x)=[g(x)] is discontinous when g(x) is an integer d) none of these