Home
Class 12
MATHS
Check the following functions for one-on...

Check the following functions for one-one and onto
(a) `f:R rarr R, f(x)=(2x-3)/(7)`
(b) `f:R rarr R, f(x)=|x+1|`
(c) `f:R-{2} rarr R, f(x)=(3x-1)/(x-2)`
(d) `f:R-{-1,1}, f(x)=sin^(2)x`.

Text Solution

Verified by Experts

The correct Answer is:
(a) Bijective (one-one, onto)
(b) Neither one-one nor onto
(c) One-one but not onto
(d) Neither one-one nor onto
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR MARK QUESTIONS|13 Videos

  • RELATIONS AND FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|7 Videos

  • RELATIONS AND FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|7 Videos

  • PROBABILITY

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|20 Videos

  • THREE DIMENSIONAL GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|9 Videos

Similar Questions

Explore conceptually related problems

Which of the following function is one-one and onto both? f:R rarr R,f(x)=e^(x)

The function f:R rarr R, f(x)=x^(2) is

Which of the following function is surjective but not injective.(a) f:R rarr R,f(x)=x^(4)+2x^(3)-x^(2)+1(b)f:R rarr R,f(x)=x^(2)+x+1(c)f:R rarr R^(+),f(x)=sqrt(x^(2)+1)(d)f:R rarr R,f(x)=x^(3)+2x^(2)-x+1

If f:R rarr R,f(x)=x^(3)+x, then f is

Which one of the following function is suriective but not injective? (A) f:R rarr R,f(x)=x^(3)+x+1(B)f:R,oo)rarr(0,1],f(x)=e^(|x|)(C)f:R rarr R,f(x)=x^(3)+2x^(2)-x+1(D)f:R rarr R+,f(x)=sqrt(1+x^(2))

state which of the following are one-one and onto function f:R rarr R defined by f(x)=2x+1

If f : R - {1} rarr R, f(x) = (x-3)/(x+1) , then f^(-1) (x) equals

If f:R rarr R,f(x)=2x-1 and g:R rarr R,g(x)=x^(2) then (gof)(x) equals

If f:R rarr R defined by f(x)=(x-1)/(2) , find (f o f)(x)

If quad f:R rarr R,f(x)=2x;g:R rarr R,g(x)=x+1 then (fg)(2) equals