๐(๐ฅ)=2๐ฅ2+6๐ฅโ4f(x)=2x 2 +6xโ4๐(๐ฅ)=5๐ฅ3โ6๐ฅ2โ3g(x)=5x 3 โ6x 2 โ3Find (๐+๐)(๐ฅ)(f+g)(x).A.(๐+๐)(๐ฅ)=5๐ฅ3โ4๐ฅ2+6๐ฅโ7(f+g)(x)=5x 3 โ4x 2 +6xโ7B.(๐+๐)(๐ฅ)=5๐ฅ3+2๐ฅ2โ7(f+g)(x)=5x 3 +2x 2 โ7C.(๐+๐)(๐ฅ)=โ5๐ฅ3+8๐ฅ2+6๐ฅโ1(f+g)(x)=โ5x 3 +8x 2 +6xโ1D.(๐+๐)(๐ฅ)=7๐ฅ3โ7(f+g)(x)=7x 3 โ7SUBMITarrow_backPREVIOUS
Question
๐(๐ฅ)=2๐ฅ2+6๐ฅโ4f(x)=2x 2 +6xโ4๐(๐ฅ)=5๐ฅ3โ6๐ฅ2โ3g(x)=5x 3 โ6x 2 โ3Find (๐+๐)(๐ฅ)(f+g)(x).A.(๐+๐)(๐ฅ)=5๐ฅ3โ4๐ฅ2+6๐ฅโ7(f+g)(x)=5x 3 โ4x 2 +6xโ7B.(๐+๐)(๐ฅ)=5๐ฅ3+2๐ฅ2โ7(f+g)(x)=5x 3 +2x 2 โ7C.(๐+๐)(๐ฅ)=โ5๐ฅ3+8๐ฅ2+6๐ฅโ1(f+g)(x)=โ5x 3 +8x 2 +6xโ1D.(๐+๐)(๐ฅ)=7๐ฅ3โ7(f+g)(x)=7x 3 โ7SUBMITarrow_backPREVIOUS
Solution
To find (f+g)(x), we simply add the functions f(x) and g(x) together.
f(x) = 2x^2 + 6x - 4 g(x) = 5x^3 - 6x^2 - 3
Adding these together gives:
(f+g)(x) = 5x^3 + (2x^2 - 6x^2) + (6x) + (-4 -3) (f+g)(x) = 5x^3 - 4x^2 + 6x - 7
So, the correct answer is A. (f+g)(x) = 5x^3 - 4x^2 + 6x - 7.
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