Question

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

O f2) = g(2) and f(0) = g(0)
O f(2) = g(0) and f(0) = g(4)
O f(2) = g(0) and f(4) = g(2)
O f(2) = g(4) and f(1) = g(1)

Answer 1

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

Explanation:

The notation f(x) = g(x) means that x has the same value in both functions, and the function values are the same:

For x=2:

f(2) = g(2)

For x = 0:

f(0) = g(0)

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If you're searching for solutions to f(x)=g(x), it does you no good to compare the function values for different values of x, as in f(2) = g(0). Such an equality is irrelevant to the problem of finding x such that f(x)=g(x).

The appropriate choice is ...

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