the function f(x) is shown below.\n| x | f(x) |\n| -6 | 1 |\n| -3 | 2 |\n| 2 | 5 |\n| 5 | 3 |\n| 8 | 0 |\nif…

the function f(x) is shown below.\n| x | f(x) |\n| -6 | 1 |\n| -3 | 2 |\n| 2 | 5 |\n| 5 | 3 |\n| 8 | 0 |\nif g(x) is the inverse of f(x), what is the value of f(g(2))?\n-6\n-3\n2\n5

the function f(x) is shown below.\n| x | f(x) |\n| -6 | 1 |\n| -3 | 2 |\n| 2 | 5 |\n| 5 | 3 |\n| 8 | 0 |\nif g(x) is the inverse of f(x), what is the value of f(g(2))?\n-6\n-3\n2\n5

Answer

Answer:

2

Explanation:

Step1: Recall inverse - function property

For a function (y = f(x)) and its inverse (g(x)), (f(g(x))=x) for all (x) in the domain of (g) and (g(f(x)) = x) for all (x) in the domain of (f).

Step2: Identify the value of (f(g(2)))

Since (f(g(x))=x), when (x = 2), (f(g(2))=2).