Answer:
c = -2
Step-by-step explanation:
The two functions are given as:
f(x) = x^2 - 2x
g(x) = 6x + 4
To find:
(f+g)(x) = 0
We can evaluate (f+g)(x) using the given functions.
We know that:
(f+g)(x) = f(x) + g(x)
= x²- 2x + 6x + 4
= x² + 4x + 4
Now, we have for x = c:
c² + 4c + 4 = 0
x² + 2c + 2c + 4 = 0
c(c+2) + 2(c+2) = 0
(c+2)² = 0
c+2 = 0
c = -2
