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) = (√(x + 3))/(x)\;and\;g(x) = (√(x + 3))/(2x)`

⇒ (f . g)(x) = f(x) . g(x)

⇒
`(f . g)(x) = (√(x + 3))/(x)*(√(x + 3))/(2x)`

⇒
`(f . g)(x) = (x + 3)/(2x^2)`