Show that the function sin(x^3+7x+1) is continuous everywhere.

It said to use a specific theorem, but the theorem they listed to use was in a total different chapter and was irrelevant to the problem whatsoever, so I was wondering is there any theorem out there able to prove that function?

Question

Show that the function sin(x^3+7x+1) is continuous everywhere.

It said to use a specific theorem, but the theorem they listed to use was in a total different chapter and was irrelevant to the problem whatsoever, so I was wondering is there any theorem out there able to prove that function?

anonymous · Answer

Now that I take a look at the theorem the book shows, it might have some connection, the theorem says

If the function g is continuous everywhere and the function f is continuous everywhere, then the composition f of g is continuous everywhere.

anonymous · Answer

If that makes any sense that is. Lol