Which conclusion about f(x) and g(x) can be drawn from the table

For all the simple people like myself it’s B

The conclusion that is true about f(x) and g(x) based on the table of values is:

        (x,y) → (-x,y)

Hence, if we have a function f(x) as:

Then it's reflection over the y-axis is:

Hence, they are reflection over the y-axis.

where a>0 is a increasing function if b>1

and is a decreasing function if: 0<b<1

Hence, f(x) is a increasing function and g(x) is a decreasing function.

when x=0 we see that both f(x)=g(x)=1

i.e. Both f(x) and g(x) have same initial value.

Also,by the graph we may see the relation.