Let `f ={(x ,(x^2)/(1+x^2)):x in R}`be a function from R into R. Determine the rage of f.

The function f(x)=(x)/(x^(2)+1) from R to R is

The function f:R to R given by f(x)=x^(2)+x is

Let f:R to R be a function defined by f(x)=(|x|^(3)+|x|)/(1+x^(2)) , then the graph of f(x) lies in the

Let the function f: R to R be defined by f(x)=x^(3)-x^(2)+(x-1) sin x and "let" g: R to R be an arbitrary function Let f g: R to R be the function defined by (fg)(x)=f(x)g(x) . Then which of the folloiwng statements is/are TRUE ?

Let f be a function from R to R such that f(x)=cos(x+2) . Is f invertible? Justify your answer.

Let f : R to R : f(x) =(2x-7)/(4) be an invertible function . Find f^(-1)

Let f:R to R be the function defined by f(x)=2x-3, AA x in R. Write f^(-1).

Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in R . Then find the nature of f(x) .