Let the function `f: RrarrR` be defined by `f(x)=2x+sinx` for `x in Rdot` 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

If f:[0,oo]rarr[0,oo) and f(x)=(x)/(1+x) then f( a) one-one and onto (b)one-one but not onto (c)onto but not one-one (d)neither on-one nor onto

The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and onto (b) one-one but not onto (c) onto but not one-one (d) neither one-one nor onto

Let f: R->R be a function defined by f(x)=(x^2-8)/(x^2+2) . Then, f is (a) one-one but not onto (b) one-one and onto (c) onto but not one-one (d) neither one-one nor onto

the function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both one-one and onto (b) not one-one, but onto (c) one-one, but not onto (d) neither one-one, nor onto

Prove that the function f:R rarr R given by f(x)=2x is one-one and onto.

Let f: RrarrRa n dg: RrarrR be two one-one and onto function such that they are the mirror images of each other about the line y=a. If h(x)=f(x)+g(x),t h e nh(x) is (a)one-one and onto (b)only one-one and not onto (c)only onto but not one-one (d)neither one-one nor onto

Show that the function f:R rarr R defined by f(x)= absx is neither one one nor onto

Show that the function f:R rarr R defined by f(x)=x^4+5 is neither one one nor onto

Show that the function f:RrarrR defined by f(x)=x^(2) is neither one-one nor onto.

The function f::[0,3]rarr[1,29], defined by f(x)=2x^(3)-15x^(2)+36x+1, is (a) one-one and onto (b) onto but not one-one (c) one-one but not onto (d) neither one-one nor onto