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

User Nesan Mano
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8.6k points

1 Answer

1 vote
Let's see which composition you can obtain:


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

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.
User Nashay
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