Home
Class 12
MATHS
Let f:R rarr R be a function defined as ...

Let `f:R rarr R` be a function defined as `f(x)=(x^(2)-6)/(x^(2)+2)`, then f is

A

one - one but not onto

B

one - one and onto

C

onto but not one - one

D

neither one - one nor onto

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTA JEE MOCK TEST 60

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 62

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Let f:R rarr R be a function defined by f(x)=(x^(2)-3x+4)/(x^(2)+3x+4) then fis-

Let f:R rarr R be a function is defined by f(x)=x^(2)-(x^(2))/(1+x^(2)), then

Knowledge Check

  • Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

    A
    one-one but not onto
    B
    one-one and onto
    C
    one but not one-one
    D
    neither one-one nor onto

    • Similar Questions

    Explore conceptually related problems

    Let f:R rarr R be a function defined by f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is

    Let f:R rarr R be a function defined by f(x)=x^(3)+x^(2)+3x+sin x. Then f is

    Let f:R rarr R be a function defined by f(x)=x+sqrt(x^(2)), then fis

    Let f:R rarr R be a function defined as f(x)=[(x+1)^(2)]^((1)/(3))+[(x-1)^(2)]^((1)/(3))+(x)/(2^(x)-1)+(x)/(2)+1

    Let f:R rarr R be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4). Then the range of the function f(x) is

    Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

    Let f:R rarr[2,oo) be a function defined as f(x)=x^(2)-12ax+15-2a+36a^(2) . If f(x) is surjective on R, then the value of a is equal to

    Home
    Profile