Let `f : A to B` be a function defined as `f(x)=(2x+3)/(x-3)`, where A=R-{3} and B=R-{2}. Is the function f one-one and onto ? Is f invertible ? If yes, then find its inverse.

Explanation

To determine if the function \( f(x) = \frac{2x + 3}{x - 3} \) is one-one and onto, and to find its inverse if it is invertible, we will follow these steps:

### Step 1: Check if the function is one-one

To check if \( f \) is one-one, we assume \( f(x_1) = f(x_2) \) and show that this implies \( x_1 = x_2 \).

1. Set \( f(x_1) = f(x_2) \):
\[
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