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
Question
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
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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