F(x)=x^2, g(x) =6x+4
Which value of x does (f+g)(x)=0

Step-by-step explanation:

It seems to me that you are being asked for what values of x does f(x) + g(x) = 0. Which means that you need to add them together, combine like terms if possible, and then factor. Adding them together gives you

 This doesn't factor to integer solutions, so we will use the quadratic formula to factor it. The quadratic formula is as follows:

For us, a = 1, b = 6, c = 4. Filling in accordingly:

and simplifying a bit:

 The square root of 20 can be simplified down to 2√5, so plugging that in gives us:

and then reducing everything down to its lowest terms:

x = -3 ± √5. Those are irrational numbers but they are the numbers that make that addition o to 0.