`f : R -> R`, where `f(x)=(x^2+ax+1)/(x^2+x+1)` Complete set of values of 'a' such that `f (x)` is onto, is

f:R rarr R, where f(x)=(x^(2)+ax+1)/(x^(2)+x+1) Complete set of values of 'a' such that f(x) is onto,is

f:R rarr R where f(x)=(x^(2)+3x+6)/(x^(2)+x+1), then f(x) is

If f:R->R , where f(x)=x^2+1 , then f^(-1)(-5) is

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 R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) is a continuous and differentiable bounded function on both sides, then f(x) is one-one, we need to differentiate f(x). If f'(x) changes sign in domain of f, then f, if many-one else one-one. If f:R rarr R and f(x)=2ax +sin2x, then the set of values of a for which f(x) is one-one and onto is

If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) is a continuous and differentiable bounded function on both sides, then f(x) is one-one, we need to differentiate f(x). If f'(x) changes sign in domain of f, then f, if many-one else one-one. If f:R rarr R and f(x)=2ax +sin2x, then the set of values of a for which f(x) is one-one and onto is

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 R be given by f(x)=(x+1)^(2)-1 , x ge-1 . Then the set of values of x for which f(x)=f^(-1)(x) is given by