Home
Class 12
MATHS
Let f : R->Rbe defined as f(x) = 3x. Ch...

Let `f : R->R`be defined as `f(x) = 3x`. Choose the correct answer.(A) f is one-one onto (B) f is many-one onto(C) f is one-one but not onto (D) f is neither one-one nor onto.

A

f is one-one onto

B

f is many-one onto

C

f is one-one but not onto

D

f is neither one-one nor onto.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 1.3|14 Videos
  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 1.4|13 Videos
  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 1.1|16 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|18 Videos
  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise Miscellaneous Exercise on chapter 10|18 Videos

Similar Questions

Explore conceptually related problems

Let f : R rarr R be defined as f(x) = 3x . Choose the correct answer.

Let f : R rarrR be defined as f(x)=x^4 . Choose the correct answer.

Give an example of a map Which is neither one - one nor onto.

The function f : R -> R defined as f (x) =1/2 In (sqrt(sqrt(x^2+1)+x) + sqrt(sqrt(x^2+1)-x)) is (a)one-one and onto both (b)one-one but not onto (c)onto but not one-one (d)Neither one-one nor onto

Give an example of a map Which is one - one but not onto

The function f:[0,3] to [1,29], defined by f(x)=2x^(3)-15x^(2)+36x+1 is (a)one-one and onto (b)onto but not one-one (c)one-one but not onto (d)neither one-one nor onto

Let the f : R to R be defined by f(x)=2x+cos x , then f …………….

Let f:R to R be defined by f(x)=3x-4 . Then, f^(-1) (x) is

Show that the function f: R rarr R , defined as f(x) = x^2 , is neither one-one nor onto.

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.