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Determine whether the f(g(x)) = x.f(x) = x + 8 and g(x) = x - 8

Determine whether the f(g(x)) = x.f(x) = x + 8 and g(x) = x - 8-example-1
User Leoa
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1 Answer

17 votes
17 votes

Answer:

Yes, it's true that:


f(g(x))=x

Explanation:

To evaluate:


f(g(x))

We take g(x) and plug it in wherever there's an x in f(x), as following:


\begin{gathered} f(x)=x+8 \\ \\ \rightarrow f(g(x))=(x-8)+8 \\ \\ \Rightarrow f(g(x))=x \end{gathered}

This way, we can conlcude that, indeed:


f(g(x))=x

User Anahi
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