Home
Class 12
MATHS
If the function f: R -{1,-1} to A defind...

If the function `f: R -{1,-1} to A` definded by `f(x)=(x^(2))/(1-x^(2))`, is surjective, then A is equal to

A

`R-{-1}`

B

`R-(-1,0)`

C

`[0,oo)`

D

`R-[-1,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If f:R rarrA defined as f(x)=tan^(-1)(sqrt(4(x^(2)+x+1))) is surjective, then A is equal to

If the function f:R rarr A given by f(x)=(x^(2))/(x^(2)+1) is surjection,then find A

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

If the function f:R rarrA defined as f(x)=tan^(-1)((2x^(3))/(1+x^(6))) is a surjective function, then the set A is equal to

The function f:R rarr[-(1)/(2),(1)/(2)] defined as f(x)=(x)/(1+x^(2)) is

Let f:R rarr A is defined by f(x)=(x-1)/(x^(2)-3x+3) If is to be a surjection, then A should be

Consider the function f:R -{1} to R -{2} given by f (x) =(2x)/(x-1). Then

If f:R rarr [(pi)/(3), pi) defined by f(x)=cos^(-1)((lambda-x^(2))/(x^(2)+3)) is a surjective function, then lambda is equal to

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