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๐‘“(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’7๐‘ฅโˆ’4f(x)=3x 3 +8x 2 โˆ’7xโˆ’4๐‘”(๐‘ฅ)=2๐‘ฅโˆ’6g(x)=2xโˆ’6Find (๐‘“โˆ’๐‘”)(๐‘ฅ)(fโˆ’g)(x).A.(๐‘“โˆ’๐‘”)(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’5๐‘ฅโˆ’10(fโˆ’g)(x)=3x 3 +8x 2 โˆ’5xโˆ’10B.(๐‘“โˆ’๐‘”)(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’9๐‘ฅ+2(fโˆ’g)(x)=3x 3 +8x 2 โˆ’9x+2C.(๐‘“โˆ’๐‘”)(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’9๐‘ฅโˆ’10(fโˆ’g)(x)=3x 3 +8x 2 โˆ’9xโˆ’10D.(๐‘“โˆ’๐‘”)(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’5๐‘ฅ+2(fโˆ’g)(x)=3x 3 +8x 2 โˆ’5x+2SUBMITarrow_backPREVIOUS

Question

๐‘“(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’7๐‘ฅโˆ’4f(x)=3x 3 +8x 2 โˆ’7xโˆ’4๐‘”(๐‘ฅ)=2๐‘ฅโˆ’6g(x)=2xโˆ’6Find (๐‘“โˆ’๐‘”)(๐‘ฅ)(fโˆ’g)(x).A.(๐‘“โˆ’๐‘”)(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’5๐‘ฅโˆ’10(fโˆ’g)(x)=3x 3 +8x 2 โˆ’5xโˆ’10B.(๐‘“โˆ’๐‘”)(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’9๐‘ฅ+2(fโˆ’g)(x)=3x 3 +8x 2 โˆ’9x+2C.(๐‘“โˆ’๐‘”)(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’9๐‘ฅโˆ’10(fโˆ’g)(x)=3x 3 +8x 2 โˆ’9xโˆ’10D.(๐‘“โˆ’๐‘”)(๐‘ฅ)=3๐‘ฅ3+8๐‘ฅ2โˆ’5๐‘ฅ+2(fโˆ’g)(x)=3x 3 +8x 2 โˆ’5x+2SUBMITarrow_backPREVIOUS

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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‘“(๐‘ฅ)=2๐‘ฅ3+5๐‘ฅ2โˆ’6๐‘ฅโˆ’7f(x)=2x 3 +5x 2 โˆ’6xโˆ’7๐‘”(๐‘ฅ)=2๐‘ฅโˆ’3g(x)=2xโˆ’3Find (๐‘“โˆ’๐‘”)(๐‘ฅ)(fโˆ’g)(x).A.(๐‘“โˆ’๐‘”)(๐‘ฅ)=2๐‘ฅ3+5๐‘ฅ2โˆ’8๐‘ฅ+4(fโˆ’g)(x)=2x 3 +5x 2 โˆ’8x+4B.(๐‘“โˆ’๐‘”)(๐‘ฅ)=2๐‘ฅ3+5๐‘ฅ2โˆ’4๐‘ฅ+4(fโˆ’g)(x)=2x 3 +5x 2 โˆ’4x+4C.(๐‘“โˆ’๐‘”)(๐‘ฅ)=2๐‘ฅ3+5๐‘ฅ2โˆ’8๐‘ฅโˆ’4(fโˆ’g)(x)=2x 3 +5x 2 โˆ’8xโˆ’4D.(๐‘“โˆ’๐‘”)(๐‘ฅ)=2๐‘ฅ3+5๐‘ฅ2โˆ’4๐‘ฅโˆ’4(fโˆ’g)(x)=2x 3 +5x 2 โˆ’4xโˆ’4SUBMITarrow_backPREVIOUS

๐‘“(๐‘ฅ)=2๐‘ฅ3+3๐‘ฅ2โˆ’7๐‘ฅ+2f(x)=2x 3 +3x 2 โˆ’7x+2๐‘”(๐‘ฅ)=2๐‘ฅโˆ’5g(x)=2xโˆ’5Find (๐‘“+๐‘”)(๐‘ฅ)(f+g)(x).A.(๐‘“+๐‘”)(๐‘ฅ)=2๐‘ฅ3+3๐‘ฅ2+5๐‘ฅ+3(f+g)(x)=2x 3 +3x 2 +5x+3B.(๐‘“+๐‘”)(๐‘ฅ)=2๐‘ฅ3+3๐‘ฅ2โˆ’5๐‘ฅโˆ’3(f+g)(x)=2x 3 +3x 2 โˆ’5xโˆ’3C.(๐‘“+๐‘”)(๐‘ฅ)=2๐‘ฅ3+3๐‘ฅ2โˆ’5๐‘ฅ+3(f+g)(x)=2x 3 +3x 2 โˆ’5x+3D.(๐‘“+๐‘”)(๐‘ฅ)=2๐‘ฅ3+3๐‘ฅ2+5๐‘ฅโˆ’3(f+g)(x)=2x 3 +3x 2 +5xโˆ’3SUBMITarrow_backPREVIOUS

๐‘“(๐‘ฅ)=๐‘ฅ+4f(x)=x+4๐‘”(๐‘ฅ)=3๐‘ฅ2โˆ’7g(x)=3x 2 โˆ’7Find (๐‘“โ‹…๐‘”)(๐‘ฅ)(fโ‹…g)(x).A.(๐‘“โ‹…๐‘”)(๐‘ฅ)=3๐‘ฅ3+12๐‘ฅ2โˆ’7๐‘ฅโˆ’28(fโ‹…g)(x)=3x 3 +12x 2 โˆ’7xโˆ’28B.(๐‘“โ‹…๐‘”)(๐‘ฅ)=3๐‘ฅ3+28(fโ‹…g)(x)=3x 3 +28C.(๐‘“โ‹…๐‘”)(๐‘ฅ)=3๐‘ฅ3โˆ’28(fโ‹…g)(x)=3x 3 โˆ’28D.(๐‘“โ‹…๐‘”)(๐‘ฅ)=3๐‘ฅ3+12๐‘ฅ2+7๐‘ฅ+28(fโ‹…g)(x)=3x 3 +12x 2 +7x+28SUBMITarrow_backPREVIOUS

๐‘“(๐‘ฅ)=โˆฃ2๐‘ฅ+3โˆฃโˆ’5f(x)=โˆฃ2x+3โˆฃโˆ’5๐‘”(๐‘ฅ)=7g(x)=7Find (๐‘“โˆ’๐‘”)(๐‘ฅ)(fโˆ’g)(x).A.(๐‘“โˆ’๐‘”)(๐‘ฅ)=โˆฃ2๐‘ฅ+3โˆฃโˆ’12(fโˆ’g)(x)=โˆฃ2x+3โˆฃโˆ’12B.(๐‘“โˆ’๐‘”)(๐‘ฅ)=โˆฃ2๐‘ฅโˆฃโˆ’9(fโˆ’g)(x)=โˆฃ2xโˆฃโˆ’9C.(๐‘“โˆ’๐‘”)(๐‘ฅ)=โˆฃ2๐‘ฅโˆ’9โˆฃ(fโˆ’g)(x)=โˆฃ2xโˆ’9โˆฃD.(๐‘“โˆ’๐‘”)(๐‘ฅ)=โˆฃ2๐‘ฅโˆ’2โˆฃโˆ’7(fโˆ’g)(x)=โˆฃ2xโˆ’2โˆฃโˆ’7SUBMITarrow_backPREVIOUS

When completed simplified, the expression 3๐‘ฅ(4๐‘ฅโˆ’6)2(3๐‘ฅ)2(3x)3x(4xโˆ’6)โ€‹ is equivalent to

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