Lorena01 Lorena01

19-06-2018
Mathematics

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For the function f(x)=2x-6 and g(x)=5x+1, which composition produces the greatest output?

Respuesta :

19-06-2018

Let's see which composition you can obtain:

[tex]f(g(x))=2(5x+1)-6=10x+2-6=10x-4 \\ g(f(x))=5(2x-6)+1=10x-30+1=10x-29[/tex].

You can see that graph g(f(x)) lies under the graph of f(g(x)), then the composition f(g(x)) produces the greatest output.

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