f:R rarr R,f(x)=(x)/(x^(2)+1),AA x in R" determine.If "f" is one-one? is it onto? "

f:R rarr R defined by f(x)=(x)/(x^(2)+1),AA x in R is

Show that the function f:R rarr R defined by f(x)=(x)/(x^(2)+1)AA x in R is neither one-one nor onto.Also if g:R rarr R is defined by g(x)=2x-1 find fog(x)

A function f : R rarr R is defined by f(x) = 4x^3 +5, x in R examine if f is one-one and onto.

Show that the function f : R rarr R defined by : f(x) = x/(x^2+1) AA x in R , is neither one-one nor onto.

Show that the function f :R rarr R, given by f(x) = cos x, AA x in R is neither one-one nor onto.

Let the function f:R rarr R be defined by f(x)=2x+sin x for x in R .Then f is (a)one-to-one and onto (b)one-to-one but not onto (c)onto but not-one-to-one (d)neither one- to-one nor onto

Let f:R rarr R, be defined as f(x)=e^(x^(2))+cos x, then is (a) one-one and onto (b) one-one and into ( c) many-one and onto (d) many-one and into

Show that the function f:R->R defined by f(x)=x/(x^2+1) AA x in R is neither one-one nor onto. Also if g:R->R is defined by g(x)=2x-1 find fog(x)

A function f:R to R is defined by f(x)=4x^(3)+5x in R . Examine if f is one - one and onto.