Question

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

Answer 1

drawing the graph of
`f(g(x))=√(|x|)`

The graph is attached in the images below.

Option A is correct option.

Explanation:

We are given:

`f(x)=√(x)` and
`g(x)=|x|`

We need to find graph of (fog)(x)

We know that (fog)(x)= f(g(x))

Placing x=g(x) i,e x=|x|

`(fog)(x)= f(g(x))\\f(g(x))=√(|x|)`

Now, drawing the graph of
`f(g(x))=√(|x|)`

The graph is attached in the images below.

Option A is correct option.