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Question
๐(๐ฅ)=2๐ฅ3+5๐ฅ2โ6๐ฅโ7f(x)=2x 3 +5x 2 โ6xโ7๐(๐ฅ)=2๐ฅโ3g(x)=2xโ3Find (๐โ๐)(๐ฅ)(fโg)(x).A.(๐โ๐)(๐ฅ)=2๐ฅ3+5๐ฅ2โ8๐ฅ+4(fโg)(x)=2x 3 +5x 2 โ8x+4B.(๐โ๐)(๐ฅ)=2๐ฅ3+5๐ฅ2โ4๐ฅ+4(fโg)(x)=2x 3 +5x 2 โ4x+4C.(๐โ๐)(๐ฅ)=2๐ฅ3+5๐ฅ2โ8๐ฅโ4(fโg)(x)=2x 3 +5x 2 โ8xโ4D.(๐โ๐)(๐ฅ)=2๐ฅ3+5๐ฅ2โ4๐ฅโ4(fโg)(x)=2x 3 +5x 2 โ4xโ4SUBMITarrow_backPREVIOUS
Solution
The function (f-g)(x) is found by subtracting the function g(x) from f(x).
The function f(x) is given as 2x^3 + 5x^2 - 6x - 7 and g(x) is given as 2x - 3.
So, (f-g)(x) = (2x^3 + 5x^2 - 6x - 7) - (2x - 3)
This simplifies to 2x^3 + 5x^2 - 8x - 4.
So, the correct answer is C. (f-g)(x) = 2x^3 + 5x^2 - 8x - 4.
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