๐(๐ฅ)=๐ฅ+4f(x)=x+4๐(๐ฅ)=3๐ฅ2โ7g(x)=3x 2 โ7Find (๐โ ๐)(๐ฅ)(fโ g)(x).A.(๐โ ๐)(๐ฅ)=3๐ฅ3+12๐ฅ2โ7๐ฅโ28(fโ g)(x)=3x 3 +12x 2 โ7xโ28B.(๐โ ๐)(๐ฅ)=3๐ฅ3+28(fโ g)(x)=3x 3 +28C.(๐โ ๐)(๐ฅ)=3๐ฅ3โ28(fโ g)(x)=3x 3 โ28D.(๐โ ๐)(๐ฅ)=3๐ฅ3+12๐ฅ2+7๐ฅ+28(fโ g)(x)=3x 3 +12x 2 +7x+28SUBMITarrow_backPREVIOUS
Question
๐(๐ฅ)=๐ฅ+4f(x)=x+4๐(๐ฅ)=3๐ฅ2โ7g(x)=3x 2 โ7Find (๐โ ๐)(๐ฅ)(fโ g)(x).A.(๐โ ๐)(๐ฅ)=3๐ฅ3+12๐ฅ2โ7๐ฅโ28(fโ g)(x)=3x 3 +12x 2 โ7xโ28B.(๐โ ๐)(๐ฅ)=3๐ฅ3+28(fโ g)(x)=3x 3 +28C.(๐โ ๐)(๐ฅ)=3๐ฅ3โ28(fโ g)(x)=3x 3 โ28D.(๐โ ๐)(๐ฅ)=3๐ฅ3+12๐ฅ2+7๐ฅ+28(fโ g)(x)=3x 3 +12x 2 +7x+28SUBMITarrow_backPREVIOUS
Solution
The function (fโ g)(x) is found by multiplying the functions f(x) and g(x) together.
f(x) = x + 4 g(x) = 3x^2 - 7
So, (fโ g)(x) = (x + 4)(3x^2 - 7)
Expanding this gives:
(fโ g)(x) = 3x^3 + 12x^2 - 7x - 28
So, the correct answer is A. (fโ g)(x) = 3x^3 + 12x^2 - 7x - 28.
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