Home
Class 12
MATHS
Show that the function f:R->R defined by...

Show that the function `f:R->R` defined by `f(x)=x/(x^2+1) AA x in R` is neither one-one nor onto. Also if `g:R->R` is defined by `g(x)=2x-1` find fog(x)

Answer

Step by step text solution for Show that the function f:R->R defined by f(x)=x/(x^2+1) AA x in R is neither one-one nor onto. Also if g:R->R is defined by g(x)=2x-1 find fog(x) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section B|9 Videos

  • MATRICES AND DETERMINANTS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|20 Videos

  • PRACTICE PAPER II

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

Similar Questions

Explore conceptually related problems

Show that the function f:R rarr R defined by f(x)=(x)/(x^(2)+1)AA x in R is neither one-one nor onto.Also if g:R rarr R is defined by g(x)=2x-1 find fog(x)

Show that the function f:RrarrR defined by f(x)=(x)/(x^(2)+1),AAx inR is neither one-one nor onto. Also, if g:RrarrR is defined as g(x)=2x-1 , find fog(x).

Show that the function f:R rarr R given by f(x)=cos x for all x in R, is neither one- one nor onto

f:R rarr R defined by f(x)=(x)/(x^(2)+1),AA x in R is

Show that the function f:R rarr R given by f(x)=cos x function f:R, is neither one-one nor onto.

Show that the function f;R-.R defined by f(x)=cos(5x+2) is neither one-one nor onto ?

Show that the function f : R rarr R defined by f(x) = cos (5x+3) is neither one-one not onto.

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.

Show that the function f:R rarr R defined as f(x)=x^(2) is neither one-one nor onto.

Show that the function f:R rarr R defined by f(x)= absx is neither one one nor onto

Home
Profile