Home
Class 12
MATHS
Let f: R rarr [0,(pi)/2) defined by f(x)...

Let `f: R rarr [0,(pi)/2)` defined by `f(x) = tan^(-1) (x^2+x+a)` then the set of values of a for which f is onto is a)`[0,oo)` b)`[2,1]` c)`[1/4,oo)` d)None of these

A

`[0,oo)`

B

`[2,1]`

C

`[1/4,oo)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f: R to R and g: R to R are defined by f(x)=x-3 and g(x)=x^2+1 then the values of x for which g{f(x)}=10 are a)0,-6 b)2,-2 c)1,-1 d)0,6

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^(2)-3t+2)dt,1lexle3 . Then the range of f(x) is a) [0,2] b) [-1/4,4] c) [-1/4,2] d)None of these

If f(x)= (x+1)/(x-1) then the value of f(f(x)) is equal to a)x b)0 c)-x d)1

If a functions f: [2,oo) rarr B defined by f(x) = x^2 - 4x + 5 is a bijection, then B is equal to a)R b) [1,oo) c) [4,oo) d) [5,oo)

Let A = R -{3} , B = R - {1} and let f: A rarr B be defined by f(x) = (x-2)/(x-3) . Check the nature of function.

The interval in which y=x^2e^(-x) is increasing is a) (0,2) b) (-2,0) c) (2,oo) d) (-oo,oo)

f(x) = |(cosx,x,1),(2 sin x, x^(2),2x),(tan x, x ,1)| . Then value of lim_(xto0)(f'(x))/(x) is equal to a)1 b)-1 c)0 d)None of these