Respuesta :
F(F(x)) = (x -5) -5 = x -10
G(F(x)) = (x -5)² . . . . . . . matches selection A.
G(F(x)) = (x -5)² . . . . . . . matches selection A.
Answer:
(A)[tex]G(F(x))=(x-5)^2[/tex]
Step-by-step explanation:
Given: It is given that [tex]F(x)=x-5[/tex] and [tex]G(x)=x^2[/tex].
To find: [tex]G(F(x))[/tex]
Solution:
It is given that [tex]F(x)=x-5[/tex] and [tex]G(x)=x^2[/tex], then [tex]G(F(x))[/tex] is written as:
[tex]G(F(x))=G(x-5)[/tex]
⇒[tex]G(F(x))=(x-5)^2[/tex]
Thus, it matches with the option A of the given options.