Question

A mapping diagram is shown. A mapping diagram has 3 ovals in a row. The first oval has entries 4, 7, 10, 13. The second oval has entries 7, 10, 13, 16. The third oval has entries 14, 20, 26, 32. From oval 1 to 2 is g and from oval 2 to 3 is f. Arrows go from each number to the number in the oval to the right. What is f(g(13))?

Answer 1

From the diagram of composite functions, we have that:

f(g(13)) = 32.

What does the map diagram show?

This question is incomplete, hence, researching it on a search engine, the map diagram shows that:

• g(13) = 16.

• f(16) = 32.

What is the composite function of f(x) and g(x)?

The composite function of f(x) and g(x) is given by:

$(f \circ g)(x) = f(g(x))$

For this problem, from the map diagram, we want to find the measure as follows:

f(g(13)) = f(16) = 32.

More can be learned about composite functions at https://brainly.com/question/13502804

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