If f (x) = x2-2x and g (x) = 6x+4, for whichvalue of x dose (f+g) (x) = 0

The value of x that makes the equation equal to 0 is - 2.

Step-by-step explanation:

In order to find this, we first must create the composite function using the designated operation. The operation is addition, so we just add them together.

f (x) + g (x) = (f+g) (x)

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

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

Now, in order to find when this is equal to 0, we need to factor.

x^2 + 4x + 4 = 0

(x + 2) (x + 2) = 0

When it is fully factored, we can set each parenthesis equal to 0 in order to find the value. Since the parenthesis are exactly the same, we only have to do this once.

x + 2 = 0

x = - 2