Answer:
![\bold{\green{(4x-3)(3x^{2}-1) }}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cgreen%7B%284x-3%29%283x%5E%7B2%7D-1%29%20%7D%7D)
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
The range is: B. {12, 4, -6}
Step-by-step explanation:
Given
12x + 6y = 24
Here x is the input and y is the output
So,
Replacing y with f(x)
![12x +6f(x) = 24\\6f(x) = 24 - 12x\\\frac{6f(x)}{6} = \frac{24-12x}{6}\\f(x) = \frac{24-12x}{6}](https://tex.z-dn.net/?f=12x%20%2B6f%28x%29%20%3D%2024%5C%5C6f%28x%29%20%3D%2024%20-%2012x%5C%5C%5Cfrac%7B6f%28x%29%7D%7B6%7D%20%3D%20%5Cfrac%7B24-12x%7D%7B6%7D%5C%5Cf%28x%29%20%3D%20%5Cfrac%7B24-12x%7D%7B6%7D)
Domain = {-4, 0, 5},
We will put the elements of domain, one by one, to find range
![f(-4) = \frac{24-12(-4)}{6}\\=\frac{24+48}{6}\\= \frac{72}{6}\\=12\\\\f(0) = \frac{24-12(0)}{6}\\=\frac{24}{6}\\= 4\\\\f(5) = \frac{24-12(5)}{6}\\=\frac{24-60}{6}\\=\frac{-36}{6}\\=-6](https://tex.z-dn.net/?f=f%28-4%29%20%3D%20%5Cfrac%7B24-12%28-4%29%7D%7B6%7D%5C%5C%3D%5Cfrac%7B24%2B48%7D%7B6%7D%5C%5C%3D%20%5Cfrac%7B72%7D%7B6%7D%5C%5C%3D12%5C%5C%5C%5Cf%280%29%20%3D%20%5Cfrac%7B24-12%280%29%7D%7B6%7D%5C%5C%3D%5Cfrac%7B24%7D%7B6%7D%5C%5C%3D%204%5C%5C%5C%5Cf%285%29%20%3D%20%5Cfrac%7B24-12%285%29%7D%7B6%7D%5C%5C%3D%5Cfrac%7B24-60%7D%7B6%7D%5C%5C%3D%5Cfrac%7B-36%7D%7B6%7D%5C%5C%3D-6)
Hence,
The range is: B. {12, 4, -6}
Keywords: Range, Domain, functions
Learn more about functions at:
#LearnwithBrainly
Answer: C). Y = 3x + 4
Step-by-step explanation: Substitute -2 for x then find the result for Y.