Let `f:R rarr [0, pi//2)` defined by `f(x)=Tan^(-1)(x^(2)+x+a)`, then the set of value of a for which f is onto is

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

Let f:R rarr[0,(pi)/(2)) be 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

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

Let f: R ->[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot 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

Let f: R ->[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot 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

Let f: R ->[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot 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

Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the set of values of a for which f is onto is (a) (0,oo) (b) [2,1] (c) [1/4] (d) [1/4,oo]

Let f : R to [0, pi/2) be defined by f ( x) = tan^(-1) ( x^(2) + x + a. Then set of value of a for which f(x) is onto is

If f:R rarr(0, 1] is defined by f(x)=(1)/(x^(2)+1) , then f is

Let f:R rarr(0,(pi)/(2)) be a function defined by f(x)=cot^(-1)(x^(2)+4x+alpha^(2)-alpha), complete set of valuesof alpha for which f(x) is onto,is (A) [(1-sqrt(17))/(2),(1+sqrt(17))/(2)] (B) (-oo,(1-sqrt(17))/(2)]uu[(1+sqrt(17))/(2),oo)(C)((1-sqrt(17))/(2),(1+sqrt(17))/(2))( D) none of these