Answer :
Certainly! Let's match the dual notations for the given function operations:
1. Addition Operation: [tex]\(f(x) + g(x)\)[/tex]
- The addition operation in this context is denoted by the first dual notation. Therefore, the corresponding choice is 1.
2. Subtraction Operation: [tex]\(f(x) - g(x)\)[/tex]
- The subtraction operation is denoted by the second dual notation. Hence, the corresponding choice is 2.
3. Multiplication Operation: [tex]\(f(x) \cdot g(x)\)[/tex]
- The multiplication operation is denoted by the third dual notation. Thus, the corresponding choice is 3.
4. Division Operation: [tex]\(f(x) \div g(x)\)[/tex] or [tex]\(\frac{f(x)}{g(x)}\)[/tex]
- The division operation is denoted by the fourth dual notation. Accordingly, the corresponding choice is 4.
To summarize:
- For [tex]\(f(x) + g(x)\)[/tex], choose 1.
- For [tex]\(f(x) - g(x)\)[/tex], choose 2.
- For [tex]\(f(x) \cdot g(x)\)[/tex], choose 3.
- For [tex]\(f(x) \div g(x)\)[/tex] or [tex]\(\frac{f(x)}{g(x)}\)[/tex], choose 4.
1. Addition Operation: [tex]\(f(x) + g(x)\)[/tex]
- The addition operation in this context is denoted by the first dual notation. Therefore, the corresponding choice is 1.
2. Subtraction Operation: [tex]\(f(x) - g(x)\)[/tex]
- The subtraction operation is denoted by the second dual notation. Hence, the corresponding choice is 2.
3. Multiplication Operation: [tex]\(f(x) \cdot g(x)\)[/tex]
- The multiplication operation is denoted by the third dual notation. Thus, the corresponding choice is 3.
4. Division Operation: [tex]\(f(x) \div g(x)\)[/tex] or [tex]\(\frac{f(x)}{g(x)}\)[/tex]
- The division operation is denoted by the fourth dual notation. Accordingly, the corresponding choice is 4.
To summarize:
- For [tex]\(f(x) + g(x)\)[/tex], choose 1.
- For [tex]\(f(x) - g(x)\)[/tex], choose 2.
- For [tex]\(f(x) \cdot g(x)\)[/tex], choose 3.
- For [tex]\(f(x) \div g(x)\)[/tex] or [tex]\(\frac{f(x)}{g(x)}\)[/tex], choose 4.
