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Use substitution to compose the two functions:

[tex]\[ y = u^7 \][/tex]
[tex]\[ u = x + 3 \][/tex]

[tex]\[ y = \boxed{(x + 3)^7} \][/tex]

Sagot :

GinnyAnswer
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]
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