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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

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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

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Solution

The function (f-g)(x) is found by subtracting the function g(x) from f(x).

So, (f-g)(x) = f(x) - g(x) = (|2x+3| - 5) - 7.

Simplify the equation to get (f-g)(x) = |2x+3| - 12.

So, the correct answer is A. (f-g)(x) = |2x+3| - 12.

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