If `f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((x^(2)-a)/(x^(2)+1))` is an onto function, the set of values `a` is

If f:R rarr (0, pi//2], f(x)=sin^(-1)((40)/(x^(2)+x+lambda)) is a surjective function, then the value of lambda is equal to

If f:R rarr[a,6] defined by f(x)=(x^(2)-2x+d)/(x^(2)+3x+d) is an onto function,then

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

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

If f:A rarr B defined as f(x)=x^(2)+2x+(1)/(1+(x+1)^(2)) is onto function,then set B is equal to

If f:[-pi//2,pi//2] cupR given by f(x)=cosx+sin[(x+1)/(lambda)] is an even function. Then the set of values of lambda(lambda gt0) is Here, [*] denotes the greatest integer function.

Let f : R to [0, pi/2) be defined by f ( x) = tan^(-1) ( 3x^(2) + 6x + a)". If " f(x) is an onto function . then the value of a si

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

If f:R rarr R,f(x)=(alpha x^(2)+6x-8)/(alpha+6x-8x^(2)) is onto then alpha in