F(x) = 4x2 + 5x - 3
g(x) = 4x3 – 3x2 + 5
Find (f - g)(x).
1 answer:
Answer:
![-4x^3 + 7x^2 + 5x - 8](https://tex.z-dn.net/?f=-4x%5E3%20%2B%207x%5E2%20%2B%205x%20-%208)
Step-by-step explanation:
![(f-g)(x) = f(x) - g(x) = [4x^2 + 5x -3] - [4x^3 - 3x^2 + 5]](https://tex.z-dn.net/?f=%28f-g%29%28x%29%20%3D%20f%28x%29%20-%20g%28x%29%20%3D%20%5B4x%5E2%20%2B%205x%20-3%5D%20-%20%5B4x%5E3%20-%203x%5E2%20%2B%205%5D)
![= 4x^2 + 5x - 3 -4x^3 + 3x^2 - 5 = -4x^3 + 7x^2 + 5x - 8](https://tex.z-dn.net/?f=%3D%204x%5E2%20%2B%205x%20-%203%20-4x%5E3%20%2B%203x%5E2%20-%205%20%3D%20-4x%5E3%20%2B%207x%5E2%20%2B%205x%20-%208)
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Hope this helps.