Answer:
5. (3)
6. (1)
Step-by-step explanation:
 
        
             
        
        
        
<span>The correct answer is 216x</span>⁶<span>y</span>⁵<span>. 
Explanation: 
The first thing we do is raise the last monomial to the third power. 
(4xy)(2x</span>²<span>y)(3xy)</span>³
<span>=(4xy)(2x</span>²<span>y)(3</span>³<span>x</span>³<span>y</span>³<span>)
=4xy(2x</span>²<span>y)(27x</span>³<span>y</span>³<span>). 
Now we can multiply the first two monomials. When we multiply powers with the same base, we add the exponents: 
8x</span>³<span>y</span>²<span>(27x</span>³<span>y</span>³<span>). 
We multiply these last two monomials, again adding the exponents: 
216x</span>⁶<span>y</span>⁵<span>.</span>
        
                    
             
        
        
        
Answer:
<u>Given function</u>
#15 Find the inverse of h(x)
<u>Substitute x with y and h(x) with x and solve for y:</u>
- x = 2y - 1
- 2y = x + 1
- y = 1/2x + 1/2
<u>The inverse is:</u>
#16 The graph with both lines is attached.
The x- and y-intercepts of both functions have reversed values.
#17 Table of the inverse function  will contain same numbers with swapped domain and range. 
<u>Initial look is like this:</u>
- <u>x        |  -3  |  -2  | -1  |  0  |    1  |  2  | 3</u>
- h⁻¹(x)  |  -1   |       | 0   |      |    1  |      | 2
<u>The rest of the table is filled in by finding the values:</u>
- <u>x        |  -3  |  -2    | -1  |  0   |  1  |  2   | 3</u>
- h⁻¹(x)  |  -1   | -0.5 |  0  | 0.5 |  1  | 1.5 | 2