If `y=f(x)=(a x-b)/(b x-a)` , show that `x=f(y)dot`

Explanation

To show that \( x = f(y) \) where \( f(x) = \frac{ax - b}{bx - a} \), we will start by expressing \( y \) in terms of \( x \) and then solve for \( x \) in terms of \( y \).

### Step-by-Step Solution:

1. **Start with the function definition**:
\[ y = f(x) = \frac{ax - b}{bx - a} \]
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