Home
Class 12
MATHS
Show that the function f: N rarrN given ...

Show that the function f: `N rarrN` given by f(x)= 3x is one-one but not onto.

Text Solution

Verified by Experts

The correct Answer is:
f is one-one but not onto.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION IV) |7 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION V) |9 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION II) (SHORT ANSWER TYPE QUESTIONS )|9 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

Show that the function f:N rarr N given by f(x) = 5x is one-one but not onto.

Show that the function f:N rarr N given by f(x) = 4x is one-one, but not onto.

Show that the function f : NrarrN given by f (x) = 2x is one-one but not onto.

The function f: N rarr N , given by f(x) = 2x is

Prove that the function f:N rarrN defined by f(x)=x^2 +x+ 1 is one -one but not onto.

Prove that the function f: R rarr R given by: f(x) = 2x is one-one and onto.

Show that function f: Nrarr N given by f(x) = x^2 is neither one-one nor onto.

Prove that the function f : RrarrR given by f (x) = 2x is one-one and onto.

Show that function f: Rrarr R given by f(x) = x^2 is neither one-one nor onto.

Show that function f: Zrarr Z given by f(x) = x^2 is neither one-one nor onto.

Home
Profile