Question

The function f(x) and g(x) are graphed

which represents where f(x)=g(x)

Answer 1

g(x) is just a reflection of f(x) so if f(x) is positive g(x) is negative and vise versa

Answer 2

f(0) = g(0)

and

f(2) = g(2)

Explanation:

We are given graph of two functions f(x) and g(x).

f(x) is a line graph and g(x) is parabolic graph.

We asked where f(x) = g(x)

The intersection of two graphs represents where f(x) = g(x)

The line and curve intersect at x = 0 and x = 2.

Therefore, the function f(x) = g(x) when x = 0 and x = 2

That is

f(0) = g(0)

and

f(2) = g(2)