1 Answer

Mmurphy · Answer 1 · 2023-12-27T00:23:26+0000

Answer:

(b) √(4x+2)√(25x-4)

Explanation:

Given two functions f(x) = √(4x+2) and g(x) = √(25x-4), you want the function fg.

The product fg is a bit of shorthand notation:

$fg = fg(x) = f(x)\cdot g(x)$

Substituting the given function definitions, we have ...

$f(x)\cdot g(x) = √(4x+2)\cdot√(25x-4)$

The product of the radicals could be combined into one radical, but that has not been done in your answer choices. This means ...

$\boxed{fg=(√(4x+2))(√(25x-4))}$

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