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)?

f(2) = g(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)

and

Step-by-step explanation:

According to the question, the curved red line represents and the straight blue line represents .

The important thing here is that the equality of functions is represented as a common function between their curves. So, we just need to find such a common point for both.

has points (0, 4) and (2, 0).

has points (0,4) and (2,0).

Notice that both functions have the same y-value for x=0 and x=2, that means

and .

Therefore, the right answer is the first choice.

x=6 and x=3

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