f(x)=4x 2 +5xโ3๐(๐ฅ)=4๐ฅ3โ3๐ฅ2+5g(x)=4x 3 โ3x 2 +5Find (๐+๐)(๐ฅ)(f+g)(x).A.(๐+๐)(๐ฅ)=4๐ฅ3+๐ฅ2+5๐ฅ+2(f+g)(x)=4x 3 +x 2 +5x+2B.(๐+๐)(๐ฅ)=4๐ฅ3+4๐ฅ2+2๐ฅ+2(f+g)(x)=4x 3 +4x 2 +2x+2C.(๐+๐)(๐ฅ)=โ4๐ฅ3+7๐ฅ2+5๐ฅโ8(f+g)(x)=โ4x 3 +7x 2 +5xโ8D.(๐+๐)(๐ฅ)=8๐ฅ3+2๐ฅ+2(f+g)(x)=8x 3 +2x+2SUBMITarrow_backPREVIOUS
Question
f(x)=4x 2 +5xโ3๐(๐ฅ)=4๐ฅ3โ3๐ฅ2+5g(x)=4x 3 โ3x 2 +5Find (๐+๐)(๐ฅ)(f+g)(x).A.(๐+๐)(๐ฅ)=4๐ฅ3+๐ฅ2+5๐ฅ+2(f+g)(x)=4x 3 +x 2 +5x+2B.(๐+๐)(๐ฅ)=4๐ฅ3+4๐ฅ2+2๐ฅ+2(f+g)(x)=4x 3 +4x 2 +2x+2C.(๐+๐)(๐ฅ)=โ4๐ฅ3+7๐ฅ2+5๐ฅโ8(f+g)(x)=โ4x 3 +7x 2 +5xโ8D.(๐+๐)(๐ฅ)=8๐ฅ3+2๐ฅ+2(f+g)(x)=8x 3 +2x+2SUBMITarrow_backPREVIOUS
Solution
To find the sum of the functions f(x) and g(x), we simply add the corresponding terms of each function together.
The function f(x) is given as 4x^2 + 5x - 3. The function g(x) is given as 4x^3 - 3x^2 + 5.
Adding these together, we get:
(4x^3 - 3x^2 + 5) + (4x^2 + 5x - 3)
This simplifies to:
4x^3 + (4x^2 - 3x^2) + 5x + (5 - 3)
Which further simplifies to:
4x^3 + x^2 + 5x + 2
So, the sum of the functions f(x) and g(x), denoted as (f+g)(x), is 4x^3 + x^2 + 5x + 2.
Therefore, the correct answer is A. (f+g)(x) = 4x^3 + x^2 + 5x + 2.
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