Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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 :

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]