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

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

Show that the function f: R rarr R , defined as f(x) = x^2 , is neither one-one nor onto.

Let f: R rarr R be defined by f(x) = 3x^(2) - 5 and g : R rarr R, g(x) = x/(x^(2)+1) Then gof is ...........

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

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

If f : R rarr R be defined by f(x) = 1/(x) , AA x in R . Then , f is .........

Let f : R rarr R be defined by f(x) = cos (5x+2) . Is f invertible? Justify your answer.

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 .