let f(x) =` sqrtx` and g(x) =x be function defined over the set of non negative real numbers . find `(f+g)(x) , (fg)(x) and (f/g)(x)` .

Explanation

To solve the problem, we need to find three expressions based on the functions \( f(x) = \sqrt{x} \) and \( g(x) = x \). We will calculate \( (f + g)(x) \), \( (fg)(x) \), and \( \left(\frac{f}{g}\right)(x) \).

### Step 1: Calculate \( (f + g)(x) \)

The expression \( (f + g)(x) \) means we need to add the two functions \( f(x) \) and \( g(x) \).

\[
(f + g)(x) = f(x) + g(x)
...