Write f(x) above g(x), as shown below:
f(x)=2x^2 + 3
- g(x) = x^2 - 7
--------------------- Next, combine the givens in three columns:
(f-g)(x) = x^2 + 10 (answer)
The arithmetic operation of the functions f(x) and g(x) is x² + 10 if arithmetic operation is (f-g)(x) option (D) is correct.
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
f(x) = 2x² + 3
g(x) = x² - 7
To find the (f-g)(x)
(f-g)(x) = f(x) - g(x)
Plug the function f(x) and g(x):
The above expression is representing an arithmetic operation of the functions:
(f-g)(x) = f(x) - g(x) = (2x² + 3) - (x² - 7)
(f-g)(x) = 2x² + 3 - x² + 7
(f-g)(x) = x² + 10
Thus, the arithmetic operation of the functions f(x) and g(x) is x² + 10 if arithmetic operation is (f-g)(x) option (D) is correct.
Learn more about the function here:
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