Home
Class 12
MATHS
Which of the following function from Z t...

Which of the following function from Z to itself are bijections? `f(x)=x^3` (b) `f(x)=x+2` `f(x)=2x+1` (d) `f(x)=x^2+x`

Text Solution

Verified by Experts

The correct Answer is:
b

(b) Clearly, `f(x)` must be `x+2` as for this function, each image has its preimage and each image has one and only one preimage.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.5|5 Videos
  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.6|8 Videos
  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.3|9 Videos
  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE ENGLISH|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Which of the following functions from A={x in R :-1lt=xlt=1} to itself are bijections? f(x)=|x| (b) f(x)=sin((pix)/2) (c) f(x)=sin((pix)/4) (d) none of these

Which of the following function/functions has/have point of inflection? f(x)=x^(6/7) (b) f(x)=x^6 f(x)=cosx+2x (d) f(x)=x|x|

Let A=[-1,1]dot Then, discuss whether the following functions from A to itself are one-one onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Let A=[-1,1]dot Then, discuss whether the following functions from A to itself are one-one onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Let A=[-1,1]dot Then, discuss whether the following functions from A to itself are one-one onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Let A=[-1,\ 1] . Then, discuss whether the following functions from A to itself are one-one, onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Which of the following function is non-differentiable in domain? f(x)=(x-2)/(x^2+3) (b) f(x)=log|x| f(x)=x^3logx (d) f(x)=(x-3)^(3/5)

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2^(x(x-1)) (d) None of these

Examine the following functions for continuity. (a) f(x)=x-5 (b) f(x)=1/(x-5) (c) f(x)=(x^2-25)/(x+5) (d) f(x)=|x-5|

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2