Question

If N(x) = (f ◦ g ◦ h)(x) and N(x)= equation, find f(x), g(x), and (h)(x).

Answer 1

equation is \[(\sqrt{2x})^5\]

Answer 2

@Becki

Answer 3

Think of those Russian nesting dolls. You're stacking, smaller inside the bigger. What's the innermost function here?

Answer 4

It's 2x

Answer 5

Yes. Now what's being done to the 2x directly?

Answer 6

It's being squared\[\sqrt{x}\]

Answer 7

It's being rooted, but yes. Your symbol is correct. So what's being done to the root (x)?

Answer 8

power to 5? \[(\sqrt{x})^5\]

Answer 9

Close. The root (x) becomes your x for the next function out.

h(x)=2x
g(x)= root (x)
f(x)= x^5

Answer 10

Ohh... yea I understood how to do it after you showed me but this one had 3 so it threw me off. thanks

Answer 11

Yeah, I agree it can get pretty confusing when you have to go in and in and in!