Question

If f: A → B and G B → C are one – one, then g of A → C is

Options

• one – one

• into

• onto

• none of there

Answer 1

one – one

Explanation:

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