Final answer:
To find the sum, difference, product, and quotient of two functions, we use the corresponding operations on their terms.
Step-by-step explanation:
Sum:
To find the sum of two functions, we simply add the corresponding terms. For f(x) = 4x - 6 and g(x) = 2x^2 - 3x, the sum is (4x - 6) + (2x^2 - 3x).
Difference:
To find the difference of two functions, we subtract the corresponding terms. For f(x) = 4x - 6 and g(x) = 2x^2 - 3x, the difference is (4x - 6) - (2x^2 - 3x).
Product:
To find the product of two functions, we multiply the corresponding terms. For f(x) = 4x - 6 and g(x) = 2x^2 - 3x, the product is (4x - 6)(2x^2 - 3x).
Quotient:
To find the quotient of two functions, we divide the first function by the second function. For f(x) = 4x - 6 and g(x) = 2x^2 - 3x, the quotient is (4x - 6) / (2x^2 - 3x).