Question

Let f(x)=x−4 and g(x)=3x2

Perform the function operation, and then find the domain of the result (f+g)(x).
A) x∈R
B) x≤4
C) x≥0
D) x≠2

Answer 1

To perform the function operation (f+g)(x), we need to add f(x) and g(x) together. The domain of the result (f+g)(x) is all real numbers. So, the correct answer is A) x∈R.

Step-by-step explanation:

To perform the function operation (f+g)(x), we need to add f(x) and g(x) together. So, (f+g)(x) = f(x) + g(x).

f(x) = x - 4
g(x) = 3x^2

Adding the two functions together, we get (f+g)(x) = (x-4) + 3x^2.

Simplifying the expression, we get (f+g)(x) = 3x^2 + x - 4.

The domain of the result (f+g)(x) is all real numbers, so the correct answer is A) x∈R.