Check the continuity of the function f given by `f(x) = 2x + 3 a t x = 1`.

Explanation

To check the continuity of the function \( f(x) = 2x + 3 \) at \( x = 1 \), we will follow the definition of continuity. A function is continuous at a point \( c \) if the following three conditions are satisfied:

1. \( f(c) \) is defined.
2. The left-hand limit (LHL) as \( x \) approaches \( c \) exists.
3. The right-hand limit (RHL) as \( x \) approaches \( c \) exists.
4. The left-hand limit, right-hand limit, and the function value at that point are all equal.

### Step 1: Determine \( f(1) \)
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