Question

Let f(x)=3x-7 and g(x)=2x². Perform the function operation and then find the domain of the result.

(f-g)(x)= ?
What is the domain of (f-g)(x)?
A. The domain of f-g is the set of all real numbers .
B.The domain is f-g is the set of all x ≤ 0.
C. The domain is f-g is the set of all x ≥ 0.
D. The domain of f-g is the set of all real numbers except x=0.

Answer 1

Answer: A

Explanation:

`f(x)=3x-7\\g(x)=2x^2`

`(f-g)(x)=3x-7-(2x^2)\\(f-g)(x)=3x-7-2x^2\\(f-g)(x)=-2x^2+3x-7`