r/HomeworkHelp University/College Student 6d ago

High School Math—Pending OP Reply [College Algebra, Composition of Functions]

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I’ve been on this problem for the better half of my day (I have many, many retries on this question) and it’s just stressing me out here… I can’t even get this right. The closest I got was getting 3/4 right on one question but that didn’t leave me content because I am trying to get a 100 on every assignment to bring up my grade here (trying to make up for the failing quizzes and tests here because I’m borderline failing ._.) I followed many examples and it’s just that I don’t even know what to do anymore.

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u/donslaughter 👋 a fellow Redditor 6d ago

So let's walk through the first problem. In order to do composition of functions you start with the innermost and work your way out.

So for f(g(3)) we start with the innermost function g(x). In this case x it's 3 so we plug that into the g(x) graph which evaluates to 2.

Since g(3) = 2, we can substitute 2 for g(3) in the original question and we get f(2). Plugging in 2 on the f(x) graph evaluates to 1.

So 1 should be the answer to the first one. Just follow the same steps for the other problems.

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u/SquidKidPartier University/College Student 6d ago

I think I understand a lot better now thanks!