Question

If f(x) = |3x + 4| + 2
g(x) = 4
Find (f + g)(x).

Answer 1

To find (f + g)(x), we need to add the functions f(x) and g(x) together. The sum of the functions f(x) = |3x + 4| + 2 and g(x) = 4 is (f + g)(x) = |3x + 4| + 6.

Step-by-step explanation:

To find (f + g)(x), we need to add the functions f(x) and g(x) together.

Given that f(x) = |3x + 4| + 2 and g(x) = 4, we can substitute these values into the sum:

(f + g)(x) = (|3x + 4| + 2) + 4

Simplifying this further, we can remove the absolute value brackets:

(f + g)(x) = |3x + 4| + 6

Therefore, the sum of the functions f(x) and g(x) is (f + g)(x) = |3x + 4| + 6.