How is the notation for subtracting functions represented?

How is the notation for subtracting functions represented?

• A. (f+x)(x)
• B. (f-g)(x)
• C. (f*x)(x)
• D. (f-g)x

Answer: (B)

In the context of functions, subtracting one function from another is typically expressed using the notation \( (f - g)(x) \). This represents the operation where you take the function \( f \) and subtract the function \( g \) and then evaluate the result at a specific value of \( x \). When you write \( (f - g)(x) \), you are clearly indicating that you are taking the output of the function \( f \) and subtracting the output of the function \( g \) both evaluated at the same input \( x \). This makes it clear that the operations being performed are on the outputs of these functions prior to evaluating at \( x \). The other choices do not accurately reflect the operation of subtracting functions. The notation involving addition or multiplication does not appropriately denote subtraction and therefore does not convey the intended mathematical operation.

In the context of functions, subtracting one function from another is typically expressed using the notation ( (f - g)(x) ). This represents the operation where you take the function ( f ) and subtract the function ( g ) and then evaluate the result at a specific value of ( x ).

When you write ( (f - g)(x) ), you are clearly indicating that you are taking the output of the function ( f ) and subtracting the output of the function ( g ) both evaluated at the same input ( x ). This makes it clear that the operations being performed are on the outputs of these functions prior to evaluating at ( x ).

The other choices do not accurately reflect the operation of subtracting functions. The notation involving addition or multiplication does not appropriately denote subtraction and therefore does not convey the intended mathematical operation.