Express the function y=8(x-8)^5 as a composition y=f(g(x)) of two simpler functions y=f(u) and u=g(x)

Question

mathteacher1729 · Answer

We're given
$$\huge y = 8(x-8)^2$$
and you can look at it as "eight times (some function) squared" or...
$$\huge y = 8\Box^2 $$

What is $\huge \Box $?

anonymous · Answer

x-8 ??

mathteacher1729 · Answer

@yoadriiii  Yes. 

So that means $$\huge f(u) = 8u^2$$
and $$\huge g(x) = (x-8)$$

anonymous · Answer

okay and would it be ^2 or ^5 because I posted the power of 5 not 2 lol just making sure ??

mathteacher1729 · Answer

Oh sorry, yeah it should be 5. my eyes. they are going. :-p

anonymous · Answer

lol it's okay thank you so much forthe help. I actually have another one... if the problem now shows y=3x$$^{6}$$-2

anonymous · Answer

sorry I inputed that wrong

anonymous · Answer

The problem is y=3x^6-2 and I again have to find g(x) and f(u)

anonymous · Answer

I'm confused again because now it doesn't show the parentheses?