Answer:
 and
 and 
Step-by-step explanation:
Given

 per section
 per section

Required
Model the scenario
The model of this scenario is:

This gives:
<em /> <em> -- This represents the multiplication model</em>
<em> -- This represents the multiplication model</em>
Divide both sides by 18



Reorder
<em /> <em> -- This represents the division model</em>
<em> -- This represents the division model</em>
 
        
                    
             
        
        
        
Here it is given that f(x)=3x and g(x)=1/x
We have to find the domain of (g o f)(x)
Now it is given that f(x) = 3x
and it is also given that g(x) = 1/x
so (g o f)(x) = g( f(x) ) = g( 3x )
which comes out to be 1 / 3x 
The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.
 
        
             
        
        
        
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to

where
B is the area of the base
H is the height of the pyramid
we have


substitute and solve for B



step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to

we have


substitute

therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
 
        
             
        
        
        
Answer:
   A.  (14,20)
Step-by-step explanation:
The inverse relation is found by swapping x and y in the ordered pair.
When ...
    14 = f^-1(20)
then ...
   20 = f(14)
The corresponding ordered pair is (14, 20).