Question

What's the answer?(SOMEONE PLEASE HELP ME)

Answer 1

We know that According to Algebra of Real Functions :

If f and g are two real functions which are defined under the same domain then (f . g)(x) = f(x) . g(x)

$Given\;f(x) = \frac{\sqrt{x + 3}}{x}\;and\;g(x) = \frac{\sqrt{x + 3}}{2x}$

⇒ (f . g)(x) = f(x) . g(x)

⇒ $(f . g)(x) = \frac{\sqrt{x + 3}}{x}\times\frac{\sqrt{x + 3}}{2x}$

⇒ $(f . g)(x) = \frac{x + 3}{2x^2}$