Home
Class 11
MATHS
If A={x:-1 le x le 1},f(x)=x^(2) and g(x...

If `A={x:-1 le x le 1},f(x)=x^(2) and g(x)=x^(3),` which of the following functions are onto? (i) `f:A to A`

Text Solution

Verified by Experts

The correct Answer is:
(i) f is not a surjection,
(ii) g is surgection,
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.3 (VERY SHORT ANSWER QUESTIONS)|15 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.4|10 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.2 (VERY SHORT ANSWER TYPE QUESTIONS)|2 Videos
  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos
  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

If A={x:-1 le x le 1},f(x)=x^(2) and g(x)=x^(3), which of the following functions are onto? (ii) g: A toA

If A = { x : -1 le x le 1}, g(x) = x^(3) , which of the following are onto? (ii) g:A to A

A={x:-1 le x le 1}, f: A to A defined by f(x) =x|x| . Then f is:

Given A={x:(pi)/(6) le x le (pi)/(3)} and f(x)=cosx-x(1+x) , then f(A)=

If the function f(x) = x^3 + e^(x/2) and g(x) =f^-1(x) , then the value of g'(1) is

If f(x)=(x^(2)+1)/([x]) , ([.] denotes the greatest integer function), 1 le x lt 4 , then

Consider two funtions f(x) = {:{( [x], -2le x le -1 ),(|x|+1, -1 lt xle 2 ):} and g(x) = {:{( [x]. -pi le x lt 0 ),(Sinx 0le xle pi ):} where [.] denotes the greatest functions The range of g(f(x)) is