Answer:
Yes, it's true that:
[tex]f(g(x))=x[/tex]
Step-by-step explanation:
To evaluate:
[tex]f(g(x))[/tex]
We take g(x) and plug it in wherever there's an x in f(x), as following:
[tex]\begin{gathered} f(x)=x+8 \\ \\ \rightarrow f(g(x))=(x-8)+8 \\ \\ \Rightarrow f(g(x))=x \end{gathered}[/tex]
This way, we can conlcude that, indeed:
[tex]f(g(x))=x[/tex]
