Question

Graphs of the functions f and g are shown in the xy-plane above. For which of the following values of x does $f\left(x\right)+g\left(x\right)=0$?

• A. $-3$
• B. $-2$
• C. $-1$
• D. $0$

Answer 1

Answer: (B)

$-2$

The functions of $f\left(x\right)$ and $g\left(x\right)$ are given

For $f\left(x\right)+g\left(x\right)=0$ , functions $f$ and $g$ should be in opposite sign

We can observe that at $x=-2$ , $f\left(x\right)=2$ and $g\left(x\right)=-2$

Therefore $f(-2)+g(-2)=0$

So the correct option is $B$