Let `f:R rarr R` defined by `f(x)=(x^(2))/(1+x^(2))`. Proved that f is neither injective nor surjective.

Show f:R rarr R defined by f(x)=x^(2)+4x+5 is into

Let the function f : R rarr R be defined by f(x) = cos x , AA x in R . Show that f is nether one - one nor onto .

If f: R rarrR is defined by f(x) =x^(2)-3x+2 , find f(f(x)).

Show f:R rarr R " defined by " f(x)=x^(2)+x " for all " x in R is many-one.

Let f:R to R be defined by f(x)=3x-4 . Then, f^(-1) (x) is

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

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.

If f:R-{3/5} rarr R be defined by f(x) = (3x+2)/(5x-3) , then .........

Let f : R rarr R be defined as f(x) = 3x . Choose the correct answer.