Answer :
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
f(x) = √3x
g(x) = √48x
(f . g)(x) = ?
Step 02:
(f . g)(x) :
[tex]\text{ (f.g)(x) = }\sqrt[]{3(\sqrt[]{48x)}}[/tex][tex](f.g)(x)\text{ = }\sqrt[]{3(48x)^{\frac{1}{2}}}\text{ }[/tex](f.g)(x) = 12 √ x
The answer is:
(f.g)(x) = 12 √ x