[" सिद्ध कीजिए कि यदि "f:X rarr Y" तथा "g:Y rarr Z],[" एकैकी हैं तो "gof:X rarr Z" भी एकेकी होगा। "]

Show that if f: A rarr B and g: B rarr C are onto, then gof: A rarr C is also onto.

If f:X rarr Y and g:Y rarr Z are two one-one onto mappings then prove that gof:X rarr Z is also one-one and onto mapping.

Show that if f : A rarr B and g : B rarr C are one-one, then gof : A rarr C is also one-one.

Show that if f: A rarr B and g: B rarr C are one-one, then gof : A rarr C is also one-one.

If f:R rarr R,f(x)=2x-1 and g:R rarr R,g(x)=x^(2) then (gof)(x) equals

Find gof and fog, if f:R rarr R and g:R rarr R are given by f(x)=|x| and g(x)=|5x-2|

Let :R rarr R;f(x)=sin x and g:R rarr Rg(x)=x^(2) find fog and gof.

Consider the functions f:X rarr Y and g:Y rarr Z then which of the following is/are incorrect?