Question

The function (fx) is shown below. If g(x) is the inverse of fx), what is the value of f(g(2))?

A) -6
B) -3
C) 2
D) 5​

Answer 1

To find the value of f(g(2)), we need to determine the value of g(2) and substitute it into the function f(x). The value of f(g(2)) is -6. Option a.

Step-by-step explanation:

To find the value of f(g(2)), we need to first determine the value of g(2), and then substitute that value into the function f(x). Since g(x) is the inverse of f(x), we can say that f(g(x)) = x. So, g(x) undoes whatever f(x) does. Therefore, if we substitute 2 into g(x) and get a value of -3, we can then substitute that -3 back into f(x) to find the value of f(g(2)).

So, if g(2) = -3, then f(g(2)) = f(-3). We can look at the graph or the function to find that when x = -3, f(x) = -6. Therefore, the value of f(g(2)) is -6 (option A).