To find the composition of the functions [tex]\( y = u^7 \)[/tex] and [tex]\( u = x + 3 \)[/tex], we need to express [tex]\( y \)[/tex] directly in terms of [tex]\( x \)[/tex].
1. Start with the given function for [tex]\( u \)[/tex]:
[tex]\[
u = x + 3
\][/tex]
2. Substitute [tex]\( u = x + 3 \)[/tex] into the function [tex]\( y = u^7 \)[/tex]:
[tex]\[
y = (x + 3)^7
\][/tex]
Thus, the composition of the functions [tex]\( y = u^7 \)[/tex] and [tex]\( u = x + 3 \)[/tex] is:
[tex]\[
y = (x + 3)^7
\][/tex]
