Home
Class 12
MATHS
If f : R to R defined by f(x) = 1+x^(2)...

If f : `R to R ` defined by `f(x) = 1+x^(2),` then show that f is neither 1-1 nor onto.

Answer

Step by step text solution for If f : R to R defined by f(x) = 1+x^(2), then show that f is neither 1-1 nor onto. 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

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PEPER MARCH -17

    SUNSTAR PUBLICATION|Exercise PART -C|14 Videos

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PEPER MARCH -17

    SUNSTAR PUBLICATION|Exercise PART -D|12 Videos

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PEPER MARCH -17

    SUNSTAR PUBLICATION|Exercise PART -D|12 Videos

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER MARCH -2018

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

  • II PUC MATHEMATICS P.U. BOARD LATEST MODEL QUESTION PAPER - 1

    SUNSTAR PUBLICATION|Exercise PART - E|2 Videos

Similar Questions

Explore conceptually related problems

If f:RtoR, defined by F(x)=1+x^2 , then show that f is neither 1 - 1 nor 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.

Knowledge Check

  • Let f: R to R be defined by f(x) = x^(4) , then

    A
    f is one-one but not onto
    B
    f is neither one-one nor onto
    C
    f is one-one and onto
    D
    f may be one-one and onto

  • Let f : R to R be defined by f(x)=x^(4) , then

    A
    1.f is one - one and onto
    B
    2.f may be one - one and onto
    C
    3.f is one - one but not onto
    D
    4.f is neither one - one nor onto

  • If f = R rightarrow R is defined by f(x) = |x| , then,

    A
    `f^(-1)(x) = -x`
    B
    `f^(-1)(x) = (1)/|x|`
    C
    the function `f^(-1)(x)` does not exist
    D
    `f^(-1)(x) =(1)/(x)`

    • Similar Questions

    Explore conceptually related problems

    If f : R to R is defined by f (x) = 2x + 3 , then f^(-1) x

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

    Show that the function f : R to R defined by f(x) = x^(2) AA x in R is neither injective nor subjective.

    If f:RtoR is defined by f(x)=x^(3) then f^(-1)(8)=

    If f : R to R is defined by f(x) = x/(x^(2)+1) find f(f(2)) .

    Home
    Profile