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

Let f: R rarr R , where f(x) = sinx , Show that f is into

Let A = R - {-3} and B = R - {1} Consider the function f : A rarr B defined by f(x) = (x-2)/(x-3) . Is f one-one and onto ? Justify your answer.

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

f: N rarr N , where f(x) = x - (-1)^x . Then f is a)one-one and into b)many-one and into c)one-one and onto d)many-one and onto

If f: R rarr R , f(f(x)) = (f(x))^(2) , then f(f(f(x) ))is equal to

Let f, g: R rarr R be defined by f(x)=x^2+1 and g(x)=sin x . Find f o g and gof .

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

Let f: (2,4) rarr (1,3) where f(x) = x - [x//2] (where [ .] denotes the greatest integer function), then f^(-1)(x) is

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