Home
Class 12
MATHS
Show that the function f: R ->R is given...

Show that the function `f: R ->R` is given by `f(x)=1+x^2` is not invertible.

Answer

Step by step text solution for Show that the function f: R ->R is given by f(x)=1+x^2 is not invertible. 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 II

    CBSE COMPLEMENTARY MATERIAL|Exercise Section C|8 Videos

  • PRACTICE PAPER II

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

  • PRACTICE PAPER II

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

  • PRACTICE PAPER III

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

Similar Questions

Explore conceptually related problems

Show that the function f:R rarr given by f(x)=x^(3)+x is a bijection.

Prove that the function f : [ 0,oo)rarrR , given by f(x)=9x^(2)+6x-5 is not invertible. Modify the co-domain of the function f to make it invertible, and hence, find f^(-1) .

Knowledge Check

  • The function f:R to R given by f(x)=x^(2)+x is

    A
    one-one nad onto
    B
    one-one and into
    C
    many-one and onto
    D
    many one and into

    • Similar Questions

    Explore conceptually related problems

    Show that the function f:R rarr R given by f(x)=x^(3)+x is a bijection.

    Show that the function f: Q->Q defined by f(x)=3x+5 is invertible. Also, find f^(-1) .

    Show that the function f given by f(x)=x^(3)-3x^(2)+4x,x in R

    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 modulus function f:R rarr R , given by f(x)=|x| is neither one-one nor onto.

    Prove that the function f: R->R defined as f(x)=2x-3 is invertible. Also, find f^(-1) .

    Show that the function f:R-{3}rarr R-{1} given by f(x)=(x-2)/(x-3) is bijection.

    Home
    Profile