Given f(x)= square root x and g(x) = lxl, which is the graph of (fog)(x)

Answer:
drawing the graph of [tex]f(g(x))=\sqrt{|x|}[/tex]
The graph is attached in the images below.
Option A is correct option.
Step-by-step explanation:
We are given:
[tex]f(x)=\sqrt{x}[/tex] and [tex]g(x)=|x|[/tex]
We need to find graph of (fog)(x)
We know that (fog)(x)= f(g(x))
Placing x=g(x) i,e x=|x|
[tex](fog)(x)= f(g(x))\\f(g(x))=\sqrt{|x|}[/tex]
Now, drawing the graph of [tex]f(g(x))=\sqrt{|x|}[/tex]
The graph is attached in the images below.
Option A is correct option.