Home
Class 12
MATHS
Let the mapping f:[0. infty) rarr [0,2] ...

Let the mapping `f:[0. infty) rarr [0,2]` be defined by, `f(x)=(2x)/(x+1)` then mapping f will be ____

A

injective but not surjective

B

neither injective nor surjective

C

onto but not one-one

D

one-one and into

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise EXERCISE 2A ( very short answer type questions)|22 Videos
  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise EXERCISE 2 B|6 Videos
  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise Sample questions (Assertion -Reason type C)|3 Videos
  • LOGARITHM

    CHHAYA PUBLICATION|Exercise Long Answer Type Question|12 Videos
  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos

Similar Questions

Explore conceptually related problems

If f:[1,infty)rarr[2,infty) is defined as f(x)=x+(1/x) then find f^(-1)(x)

If the function f:[1, infty) rarr [1, infty) is defined by f(x)=2^(x(x-1)) , then find f^(-1)(x)

Let a function f:(0,infty)to[0,infty) be defined by f(x)=abs(1-1/x) . Then f is

Let D be the set of odd natural numbers . Then show that the mapping f:NN rarrD , defined by, f(x)=2x-3 is onto but the mapping g:ZZ rarrZZ defined by , g(x)=2x-3 is not onto.

Let f: d rarr R be defined by f(X)=In (In(In(In x))) then

The mapping f:ZZ rarr ZZ defined by , f(x)=3x-2 , for all x in ZZ , then f will be ___

Let RR be the set of real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

Let ZZ be the set of integers and the mapping f: ZZ rarr ZZ be defined by, f(x)=x^(2) . State which of the following is equal to f^(-1) (4) ?

Let f : (0,infty) rarr R be given by f(x) = int_(1/x)^(x) e^-(t + 1/t) dt/t then

The function f:[0,3]rarr[1,29] , defined by f(x)=2x^3-15x^2+36x+1 is