Question

Which represents where f(x) = g(x)?

f(4) = g(4) and f0) = g(0)
f(-4) = g(-4) and f0) = g(0)
f(-4) = g(-2) and f4) = g(4)
f(0) = g(-4) and f4) = g(-2)​

Answer 1

The right answer is B....

Answer 2

f(-4)=g(-4) and f(0)=g(0)

Explanation:

Recall that what is being asked is for which values of "x" the two functions give the same numerical result (f(x) = g(x)). Then we need to look at the points of the graph where the functions intersect (those are the points for which at the same x-value they adopt exact same y-value.

Please see attached graph where the intersection points have been marked in orange. These points are (-4,4) and (0,4) on the coordinate plane, which means that the equality happens when x is -4 and when x is 0.