Home
Class 12
MATHS
Show that if f: A to B and g: B to C are...

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

Text Solution

Verified by Experts

The correct Answer is:
`(x) =y`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Show that if f: A to B and g : B to C are one-one then fog: A to C is also one-one.

Show that if f: AtoB and g: Bto C are onto,then go f : AtoC is also onto.

Show that if A ⊂ B , then C – B ⊂ C – A .

Are f and g both necessarily onto, if gof is onto ?

Show that A ∩ B = A ∩ C need not imply B = C .

Show that an onto function f: {1,2,3} to {1,2,3} is always one-one.

Let f: A rarr B and g : B rarr C be the bijective funtions. Then (gof)^-1 is