Answer:
[tex]f(0)=g(0)[/tex] and [tex]f(2) = g(2)[/tex]
Step-by-step explanation:
According to the question, the curved red line represents [tex]g(x)[/tex] and the straight blue line represents [tex]f(x)[/tex].
The important thing here is that the equality of functions [tex]f(x)=g(x)[/tex] is represented as a common function between their curves. So, we just need to find such a common point for both.
[tex]f(x)[/tex] has points (0, 4) and (2, 0).
[tex]g(x)[/tex] has points (0,4) and (2,0).
Notice that both functions have the same y-value for x=0 and x=2, that means
[tex]f(0)=g(0)[/tex] and [tex]f(2) = g(2)[/tex].
Therefore, the right answer is the first choice.
The correct answer is option A which is f(2) = g(2) and f(0) = g(0)
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
According to the question, the curved red line represents g(x) while the straight blue line represents f(x).
The important thing here is that the equality of functions f(x) = g(x) is represented as a common function between their curves. So, we just need to find a common point for both.
f(x) has points (0, 4) and (2, 0).
g(x) has points (0,4) and (2,0).
Notice that both functions have the same y-value for x=0 and x=2, which means
f(2) = g(2) and f(0) = g(0)
Therefore correct answer is option A which is f(2) = g(2) and f(0) = g(0)
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