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

Now, drawing the graph of 
The graph is attached in the images below.
Option A is correct option.
The answer is 2.67 seconds per second when rounded but 2.66666...
160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of 5)
Answer is D. 6 * (5th root of 5)