Home
Class 12
MATHS
If f is continuous and g is a discontinu...

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

Text Solution

Verified by Experts

The correct Answer is:
F
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|17 Videos

  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (FILL IN THE BLANKS QUESTIONS (TYPE-II))|8 Videos

  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

  • DEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos

Similar Questions

Explore conceptually related problems

The composition of two continuous function is a continuous function.

f is a continuous function in [a,b]; g is a continuous function in [b,c]. A function h(x) is defined as h(x)=f(x) for xϵ[a,b) =g(x) for xϵ(b,c]. If f(b)=g(b), then

Is the function defined by f(x) = |x| a continuous function?

If f is not continuous at a, then f is discontinuous at a and a is called a point of discontinuity of f.

Is the function defined by f(x) = |x|, a continuous function?

if f(g(x)) is one-one function, then

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.

The function f(x)=cotx is discontinuous on the set

Prove that the function defined by f(x) = tanx is a continuous function.

True or False : The function f(x) = |x-1| is a continuous function.