Question

Two functions are graphed on a coordinate plane which represents where f(x) =g(x)

Answer 1

The statement f(x) =g(x) is trues for x=-4 and x=0.

Explanation:

In the given graph the blue line represents the function f(x) and the red curve represents the graph of g(x).

From the given graph it is clear that the intersection points of both functions are (-4,4) and (0,4).

It means the values of both function are same at x=-4 and x=0.

`f(-4)=g(-4)`

`f(0)=g(0)`

Therefore the statement f(x) =g(x) is trues for x=-4 and x=0.

Answer 2

f(x)= g(x) at x= -4 , x=-1

Explanation:

f(x) = g(x) are the points where the graph intersects

From the graph we can see that both graphs f(x) and g(x) intersects at (-4,4) and (-1,4)

We have two intersection points

Hence two graph intersects when x= -1 and x= -4

We can say that when x=-1 f(x)=4 and g(x) =4 so f(x) = g(x)

When x= -4, f(x) =4 and g(x) = 4 so f(x) = g(x)

Hence we can say f(x)= g(x) at x= -4 , x=-1