In the question "Athena priced each of her art pieces at the same price and displayed them for sale in two different art shows. She made $495.80 from the first art show and $371.85 from the second show. If Athena sold 7 pieces of art, what price did each piece sell for?"
To get the price that each piece of art sells for:
Total sales made from selling 7 pieces of art = $495.80 + $371.85 = $867.65
The price for each piece of art = $867.65 / 7 = $123.95
Thus each piece of art sells for $123.95<span> and hence the correct answer.</span>
Answer:

Step-by-step explanation:
Because we have to rewrite this equation in the format
, we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have
. We see that each term can be divisible by 4, so we can factor out 4 to get

Now, we have two different terms getting multiplied. We can separate the two to get 
Because we are multiplying 4 by the other term, this is represented by 
Now, we can just set f(x) and g(x) to these functions:

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).