Question

PLEASE HELP ME ANSWERING THIS QUESTION!!

What is f(g(13))?

A. 16


B. 26


C. 32


D. The function is undefined.


A mapping diagram is shown.


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Answer 1

C=32

Explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

Answer 2

`f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)`

As shown in the output of g when we want to input 13 is shown in the second figure.

`\alpha = g(13 )= 16`

Now we want to solve for f(g(13)),now that we know what g(13) is

`f(g(13)) = f( \alpha ) = f(16) = 32`

Answer

C 32