Show that if f : A → B and g : B → C are one-one, then gof : A → – InterviewSolution

1.

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

Answer»

Suppose gof (x₁) = gof (x₂)

⇒ g(f (x₁)) = g(f(x₂))

⇒ f(x₁) = f (x₂), as g is one-one

⇒ x₁= x₂, as f is one-one

Hence, gof is one-one.

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