In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer.(i) `f : R->R ,`defined by `f (x) = 3 4x`(ii) `f : R->R ,`defined by `f(x) =1+x^2`

Explanation

Let's solve the problem step by step.

### Step 1: Analyze the first function \( f: \mathbb{R} \to \mathbb{R} \) defined by \( f(x) = 34x \).

1. **Determine if the function is one-one**:
- A function is one-one (injective) if different inputs produce different outputs.
- Assume \( f(x_1) = f(x_2) \). This implies:
\[
...