If `f:A- gtB, g:B- gtC` are bijective functions show that `gof:A- gtC` is also a bijective func...

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If f : A to B and g : B to C are two bijections then show that g o f : A to C is also a bijection If f : A to B and g : B to C are two bijections then show that g o f : A to C is also a bijection
gof: A TO C IS BIJECTION PROOF. COMPOSITE FUNCTION OF f and g. INTER FIRST YEAR MATHS gof: A TO C IS BIJECTION PROOF. COMPOSITE FUNCTION OF f and g. INTER FIRST YEAR MATHS
If f and g are two bijections; then gof is a bijection and `(gof)^-1 = f^-1 o g^-1` If f and g are two bijections; then gof is a bijection and `(gof)^-1 = f^-1 o g^-1`
Show that if `f : A - gt B` and `g : B - gt C` are onto, then `gof : A - gt C` is also onto.... Show that if `f : A - gt B` and `g : B - gt C` are onto, then `gof : A - gt C` is also onto....
Functions with a Two-Sided Inverse are Bijective Functions with a Two-Sided Inverse are Bijective
If `f: A->B and g: B->C` are onto functions show that `gof` is an onto function. If `f: A->B and g: B->C` are onto functions show that `gof` is an onto function.
INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS
FUNCTION THEOREM-1 g o f is bijection theorem FUNCTION THEOREM-1 g o f is bijection theorem