f:R-{-1,1},f(x)=sin^(2)x

If f:R rarr[-1, 1] be a function defined as f(x)=sin((x^(2)-8)/(x^(2)+2)) , then f is

Let F(x) = f(x) +g(x) , G(x) = f(x) - g( x) and H(x) =(f( x))/( g(x)) where f(x) = 1- 2 sin ^(2) x and g(x) =cos (2x) AA f: R to [-1,1] and g, R to [-1,1] Now answer the following If F :R to [-2,2] then F(x) is

If f'(x)=(1-2sin^2x)/f(x), (f(x) ge 0, AA x in R and f(0)=1) then f(x) is a periodic function with the period

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

Which of the following function is surjective but not injective.(a) f:R rarr R,f(x)=x^(4)+2x^(3)-x^(2)+1(b)f:R rarr R,f(x)=x^(2)+x+1(c)f:R rarr R^(+),f(x)=sqrt(x^(2)+1)(d)f:R rarr R,f(x)=x^(3)+2x^(2)-x+1

Which of the following function is surjective but not injective. (a) f:R->R ,f(x)=x^4+2x^3-x^2+1 (b) f:R->R ,f(x)=x^2+x+1 (c) f:R->R^+ ,f(x)=sqrt(x^2+1) (d) f:R->R ,f(x)=x^3+2x^2-x+1

Which of the following function is surjective but not injective. (a) f:R->R ,f(x)=x^4+2x^3-x^2+1 (b) f:R->R ,f(x)=x^2+x+1 (c) f:R->R^+ ,f(x)=sqrt(x^2+1) (d) f:R->R ,f(x)=x^3+2x^2-x+1