Respuesta :
[tex]\\ \sf\longmapsto (f.g)(x)[/tex]
[tex]\\ \sf\longmapsto f(x).g(x)[/tex]
[tex]\\ \sf\longmapsto \sqrt{2x}.\sqrt{50x}[/tex]
[tex]\\ \sf\longmapsto \sqrt{100x^2}[/tex]
[tex]\\ \sf\longmapsto 10x[/tex]
The multiplication of the f(x) and g(x) is 10x or (f • g)(x) = 10x option (C) is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = √(2x)
g(x) = √(50x)
(f • g)(x) = f(x)×g(x) = √(2x)×√(50x)
(f • g)(x) = √[(2x)(50x)]
(f • g)(x) = √(100x²)
(f • g)(x) = 10x
Thus, the multiplication of the f(x) and g(x) is 10x or (f • g)(x) = 10x option (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2