Answer:
(b) √(4x+2)√(25x-4)
Step-by-step explanation:
Given two functions f(x) = √(4x+2) and g(x) = √(25x-4), you want the function fg.
Solution
The product fg is a bit of shorthand notation:
[tex]fg = fg(x) = f(x)\cdot g(x)[/tex]
Substituting the given function definitions, we have ...
[tex]f(x)\cdot g(x) = \sqrt{4x+2}\cdot\sqrt{25x-4}[/tex]
The product of the radicals could be combined into one radical, but that has not been done in your answer choices. This means ...
[tex]\boxed{fg=(\sqrt{4x+2})(\sqrt{25x-4})}[/tex]
