Answer:
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
- f(g(x)) is a composite function where g(x) is the domain of f(x).
- g(f(x)) is a composite function where f(x) is the domain of g(x).
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
