At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer:Here is a link for the same question on another question. https://brainly.com/question/20584996?referrer=searchResults
Step-by-step explanation:
The function f(g(x)) is an illustration of a composite function of f(x) and g(x). The composite function f(g(x)) is [tex]f(g(x)) = 18x^3 + 1[/tex]
Given that:
[tex]f(x) = 9x^2 + 1[/tex]
[tex]g(x) = \sqrt{2x^3}[/tex]
f(g(x)) is calculated as follows:
[tex]f(x) = 9x^2 + 1[/tex]
Substitute g(x) for x
[tex]f(g(x)) = 9(g(x)^2) + 1[/tex]
Substitute [tex]g(x) = \sqrt{2x^3}[/tex]
[tex]f(g(x)) = 9((\sqrt{2x^3})^2) + 1[/tex]
[tex]f(g(x)) = 9(2x^3) + 1[/tex]
Open bracket
[tex]f(g(x)) = 18x^3 + 1[/tex]
Hence, composite function f(g(x)) is [tex]f(g(x)) = 18x^3 + 1[/tex]
Read more about composite functions at:
https://brainly.com/question/8776301
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.