If f(x) = x^2 - 2x and g(x) = 6x + 4, for what value of x does (f + g)(x) = 0?

x = -2

Step-by-step explanation:

x = -3 + √5 and x = -3 - √5

Step-by-step explanation:

Combine f and g:

f = x^2  -2x

+g =        6x  + 4

(f + g)(x) = x^2 + 6x + 4

Set this result = to 0 and solve for x:

By completing the square, we get:

y = x^2 + 6x + 9 - 9 + 4, or

y = (x + 3)^2 - 5 = 0

Thus, (x + 3)^2 = 5, and:

x + 3 = ±√5, or

x = -3 + √5 and x = -3 - √5

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step-by-step explanation: