Question

The functions f(x) and g(x) are graphed.

On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).



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

Answer 1

Answer:

f(x) = g(x) at (2. 0) and f(x) = g(x) at (0. 4)

Step-by-step explanation:

Two functions are said to be equal in value when they intersect at a point where their coordinates are equal. If f(x) represents the straight blue line and g(x) represent the curved red line with an upward curve, they intersect when their coordinates are equal. So, f(x) = g(x) when they intersect.

Now, f(x) crosses the x-axis at (2, 0) and crosses the y-axis at (0, 4).

Also, g(x) crosses the x-axis at (2, 0) and crosses the y-axis at (0, 4).

Since their coordinates are equal at these two points, it means that

f(x) = g(x) at (2. 0) and f(x) = g(x) at (0. 4)