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What is f(g(13))?
A mapping diagram is shown.

What is f(g(13))? A mapping diagram is shown.-example-1

1 Answer

4 votes

Answer:

(c) 32

Explanation:

Given a map between x, g(x), and f(g(x)), you want to find f(g(13)).

Using a map

You want the function value that results when 13 is the argument of g(x), and g(x) is the argument of f(x).

Locate the input (13) in the left column of the diagram. Follow the arrow to find g(13) = 16. Follow the arrow again to find f(16) = 32.

f(g(13)) = 32

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