Answer:
The answer is Multiplication.
Explanation:
The coefficient of the x term in f(x) is 2, and the coefficient of the x term in g(x) is 2. When we add or subtract the two functions, the coefficient of the x term remains 2. However, when we multiply the two functions, the coefficient of the x term becomes 4. Therefore, multiplication results in the largest coefficient on the x term.
Here is the solution for each of the operations:
Addition: f(x) + g(x) = (2x −1) + (2x + 4) = 4x + 3
Subtraction: f(x) - g(x) = (2x −1) - (2x + 4) = -5
Multiplication: f(x) * g(x) = (2x −1) * (2x + 4) = 4x^2 + 6x - 4
As you can see, the coefficient of the x term in f(x) * g(x) is 4, which is larger than the coefficients of the x terms in f(x) + g(x) and f(x) - g(x). Therefore, multiplication results in the largest coefficient on the x term.