Show that the function `f : R to R : f(x) =3-4 x` is one-one onto and hence bijective.

Explanation

To show that the function \( f : \mathbb{R} \to \mathbb{R} \) defined by \( f(x) = 3 - 4x \) is one-one and onto, we will follow these steps:

### Step 1: Show that \( f \) is one-one
A function is one-one (injective) if different inputs map to different outputs. This means that if \( f(x_1) = f(x_2) \), then \( x_1 = x_2 \).

1. Assume \( f(x_1) = f(x_2) \).
\[
3 - 4x_1 = 3 - 4x_2
...