๐(๐ฅ)=3๐ฅ3+8๐ฅ2โ7๐ฅโ4f(x)=3x 3 +8x 2 โ7xโ4๐(๐ฅ)=2๐ฅโ6g(x)=2xโ6Find (๐โ๐)(๐ฅ)(fโg)(x).A.(๐โ๐)(๐ฅ)=3๐ฅ3+8๐ฅ2โ5๐ฅโ10(fโg)(x)=3x 3 +8x 2 โ5xโ10B.(๐โ๐)(๐ฅ)=3๐ฅ3+8๐ฅ2โ9๐ฅ+2(fโg)(x)=3x 3 +8x 2 โ9x+2C.(๐โ๐)(๐ฅ)=3๐ฅ3+8๐ฅ2โ9๐ฅโ10(fโg)(x)=3x 3 +8x 2 โ9xโ10D.(๐โ๐)(๐ฅ)=3๐ฅ3+8๐ฅ2โ5๐ฅ+2(fโg)(x)=3x 3 +8x 2 โ5x+2SUBMITarrow_backPREVIOUS
Question
๐(๐ฅ)=3๐ฅ3+8๐ฅ2โ7๐ฅโ4f(x)=3x 3 +8x 2 โ7xโ4๐(๐ฅ)=2๐ฅโ6g(x)=2xโ6Find (๐โ๐)(๐ฅ)(fโg)(x).A.(๐โ๐)(๐ฅ)=3๐ฅ3+8๐ฅ2โ5๐ฅโ10(fโg)(x)=3x 3 +8x 2 โ5xโ10B.(๐โ๐)(๐ฅ)=3๐ฅ3+8๐ฅ2โ9๐ฅ+2(fโg)(x)=3x 3 +8x 2 โ9x+2C.(๐โ๐)(๐ฅ)=3๐ฅ3+8๐ฅ2โ9๐ฅโ10(fโg)(x)=3x 3 +8x 2 โ9xโ10D.(๐โ๐)(๐ฅ)=3๐ฅ3+8๐ฅ2โ5๐ฅ+2(fโg)(x)=3x 3 +8x 2 โ5x+2SUBMITarrow_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 f(x) = 3x^3 + 8x^2 - 7x - 4. The function g(x) is given as g(x) = 2x - 6.
To find (f-g)(x), we subtract g(x) from f(x):
(f-g)(x) = (3x^3 + 8x^2 - 7x - 4) - (2x - 6) = 3x^3 + 8x^2 - 7x - 4 - 2x + 6 = 3x^3 + 8x^2 - 9x + 2.
So, the correct answer is B. (f-g)(x) = 3x^3 + 8x^2 - 9x + 2.
Similar Questions
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
๐(๐ฅ)=2๐ฅ3+3๐ฅ2โ7๐ฅ+2f(x)=2x 3 +3x 2 โ7x+2๐(๐ฅ)=2๐ฅโ5g(x)=2xโ5Find (๐+๐)(๐ฅ)(f+g)(x).A.(๐+๐)(๐ฅ)=2๐ฅ3+3๐ฅ2+5๐ฅ+3(f+g)(x)=2x 3 +3x 2 +5x+3B.(๐+๐)(๐ฅ)=2๐ฅ3+3๐ฅ2โ5๐ฅโ3(f+g)(x)=2x 3 +3x 2 โ5xโ3C.(๐+๐)(๐ฅ)=2๐ฅ3+3๐ฅ2โ5๐ฅ+3(f+g)(x)=2x 3 +3x 2 โ5x+3D.(๐+๐)(๐ฅ)=2๐ฅ3+3๐ฅ2+5๐ฅโ3(f+g)(x)=2x 3 +3x 2 +5xโ3SUBMITarrow_backPREVIOUS
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
๐(๐ฅ)=โฃ2๐ฅ+3โฃโ5f(x)=โฃ2x+3โฃโ5๐(๐ฅ)=7g(x)=7Find (๐โ๐)(๐ฅ)(fโg)(x).A.(๐โ๐)(๐ฅ)=โฃ2๐ฅ+3โฃโ12(fโg)(x)=โฃ2x+3โฃโ12B.(๐โ๐)(๐ฅ)=โฃ2๐ฅโฃโ9(fโg)(x)=โฃ2xโฃโ9C.(๐โ๐)(๐ฅ)=โฃ2๐ฅโ9โฃ(fโg)(x)=โฃ2xโ9โฃD.(๐โ๐)(๐ฅ)=โฃ2๐ฅโ2โฃโ7(fโg)(x)=โฃ2xโ2โฃโ7SUBMITarrow_backPREVIOUS
When completed simplified, the expression 3๐ฅ(4๐ฅโ6)2(3๐ฅ)2(3x)3x(4xโ6)โ is equivalent to
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