Question

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

Answer 1

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`