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

-2

Step-by-step explanation:

The functions of f(x) and g(x) are given

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

We can observe that at x=−2 , f(x)=2 and g(x)=−2

Therefore f(−2)+g(−2)=0

So the correct option is D (-2)

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.