Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Unit Test

If [tex][tex]$f(x)=x^2+1$[/tex][/tex] and [tex][tex]$g(x)=x-4$[/tex][/tex], which value is equivalent to [tex][tex]$(f \circ g)(10)$[/tex][/tex]?

A. 37
B. 97
C. 126
D. 606

Sagot :

GinnyAnswer
To find the value equivalent to [tex]\((f \circ g)(10)\)[/tex], we have to follow these steps:

1. Understand the functions:
[tex]\[ f(x) = x^2 + 1 \][/tex]
[tex]\[ g(x) = x - 4 \][/tex]

2. Calculate [tex]\( g(10) \)[/tex]:
[tex]\[ g(10) = 10 - 4 = 6 \][/tex]

3. Next, use the result from [tex]\( g(10) \)[/tex] as the input to the function [tex]\( f \)[/tex]:
[tex]\[ f(g(10)) = f(6) \][/tex]

4. Calculate [tex]\( f(6) \)[/tex]:
[tex]\[ f(6) = 6^2 + 1 = 36 + 1 = 37 \][/tex]

Therefore, the value equivalent to [tex]\((f \circ g)(10)\)[/tex] is [tex]\(\boxed{37}\)[/tex].
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.