If f of x is equal to x squared minus 2 x and g of x is equal to 6 x plus 4 , for which value of x does open paren f plus g close paren of x is equal to 0 ?
Answer
A
2
B
negative 2
C
4
D
negative 4
Explanation
Add the functions: (f + g)(x) = (x² − 2x) + (6x + 4) = x² + 4x + 4. Factor to get (x + 2)², which equals 0 when x = −2. Therefore, the correct choice is negative 2.
AI-written and checked against the verified answer.