USING THE TABLE BELOW , DETERMINE THE VALUE OF f(g(13)). A.9
B.13
C.2
D.5
E.8

X| F(x) g(x)
2 9 5
5 2 8
8 13 9
9 8 13
13 5 2

f(g(13)) = 9 ⇒ (A)

Step-by-step explanation:

Composite function: is when one function is inside of another function

Eamples: If f(x) and g(x) are two functions, then

The given table

→  x  →  f(x)  →  g(x)

→  2  →  9    →   5

→  5  →  2    →   8

→  8  →  13   →   9

→  9  →  8    →   13

→  13 →  5    →   2

Use the table to answer the question

∵ f(g(13)) is a composite function

∴ g(13) = x of f

→ g(13) means value of g at x = 13

∵ g(13) = 2

→ That means we need to find f(2)

∴ f(g(13)) = f(2)

→ Find the value of f when x = 2

∴ f(2) = 9

∴ f(g(13)) = 9

The answer is A