Answer:
192 inches because 16×12=192
The results of the composite functions are:
<h3>What are composite functions?</h3>
Composite functions are functions that are obtained by combining two or more functions together
Assume that:
Then the computation of the composite functions are as follows:
<h3>Function (f * g)(x)</h3>
![(f \times g)(x) = f(x) \times g(x)](https://tex.z-dn.net/?f=%28f%20%5Ctimes%20g%29%28x%29%20%3D%20f%28x%29%20%5Ctimes%20g%28x%29)
![(f \times g)(x) = (2x-3) \times (3x)](https://tex.z-dn.net/?f=%28f%20%5Ctimes%20g%29%28x%29%20%3D%20%282x-3%29%20%5Ctimes%20%283x%29)
![(f \times g)(x) = 6x^2-9x](https://tex.z-dn.net/?f=%28f%20%5Ctimes%20g%29%28x%29%20%3D%206x%5E2-9x)
<h3>Function f(g(x))</h3>
We have: ![f(x) = 2x - 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%20-%203)
This gives
![f(g(x)) = 2g(x) - 3](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%202g%28x%29%20-%203)
So, we have:
![f(g(x)) = 2(3x) - 3](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%202%283x%29%20-%203)
![f(g(x)) = 6x - 3](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%206x%20-%203)
<h3>Function g(f(x))</h3>
We have: ![g(x) = 3x](https://tex.z-dn.net/?f=g%28x%29%20%3D%203x)
This gives
![g(f(x)) = 3f(x)](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%203f%28x%29)
So, we have:
![g(f(x)) = 3(2x - 3)](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%203%282x%20-%203%29)
![g(f(x)) = 6x - 9](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%206x%20-%209)
Read more about composite functions at:
brainly.com/question/10687170
Answer:
3x
Step-by-step explanation:
coefficient is the number before the variable
Answer:
f = -15
Step-by-step explanation:
The first poster is not an accurate representation of the painting, but the second poster is an accurate representation because the ratio between the first and original lengths did not equal the ratio between the first and original widths but the second poster's ratios were equal.