Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.