If `f: R rarr R ` is given by`f(x) = (x^2 -4)/(x^2+1)` , identify the type of function.

Let A = R -{3} , B = R - {1} and let f: A rarr B be defined by f(x) = (x-2)/(x-3) . Check the nature of function.

If f : R rarr R be given by f(x) = (3 - x^3)^(1/3) , then (f o f) (x) is

If the function f :R rarr A given by f(x) = x^2/(x^2+1) is surjection , then find A.

If f: R rarr R be a function defined by f(x)=4 x^3-7 , show that the function f is a bijective function.

Let f: R rarr R where f(x) = (x^2+4x+7)/(x^2+x+1) Is f(x) one - one ?

Show that f: R rarr R defined by f(x) = (x-1) (x-2) (x-3) is surjective but not injective