The function f of x is shown. x f of x negative 6 1 negative 3 2 2 5 5 3 8 0 If g of x is the inverse of f of x , what is the value of f of g of 2 ?
Answer
A
2
B
negative 6
C
5
D
negative 3
Explanation
Since g is the inverse of f, g(2) is the input x for which f(x) = 2. From the table, f(-3) = 2, so g(2) = -3. Therefore, f(g(2)) = f(-3) = 2, which is choice A.
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