Question

Let the function f: R → R be defined by f(x) = 4x – 1, ∀ x ∈ R then 'f' is

Options

• one – one

• onto

• into

• Bijective

Answer 1

one – one

Explanation:

For any two elements x₁, x₂ ∈R, such that f(x₁) = f(x₂),

We have 4x₁ – 1 = 4x₂ – 1

⇒ 4x₁ = 4x₂

i.e. x₁ – x₂

Hence 'f' is one – one.