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.
Answer:
3m and 9m
Step-by-step explanation:
length of the rectangle = 2w+3
width of rectangle = w
area = L*W
if area = 27m²
then (2w+3)w=27
=2w²+3w-27=0
using factorization w= 3 or -4.5
w=3m
L=9m
Answer:
3 x 10 = 30 man-days per house
The notation just means
(f/g)(-4) = f(-4) / g(-4)
If f(x) = x² + 2 and g(x) = 1 - 3x, then
f(-4) = (-4)² + 2 = 16 + 2 = 18
g(-4) = 1 - 3 (-4) = 1 + 12 = 13
and so
(f/g)(-4) = 18/13