We appreciate your visit to If tex f x 2x 3 tex and tex g x x 2 1 tex find tex tex f g 3 tex tex A 23. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Let's solve the problem step-by-step.
Given:
- [tex]\( f(x) = 2x + 3 \)[/tex]
- [tex]\( g(x) = x^2 + 1 \)[/tex]
We need to find [tex]\( f(g(3)) \)[/tex].
1. First, calculate [tex]\( g(3) \)[/tex].
[tex]\[
g(x) = x^2 + 1
\][/tex]
So,
[tex]\[
g(3) = 3^2 + 1 = 9 + 1 = 10
\][/tex]
2. Then, use the result from [tex]\( g(3) \)[/tex] to find [tex]\( f(g(3)) \)[/tex].
[tex]\[
f(x) = 2x + 3
\][/tex]
Here, we have [tex]\( x = g(3) = 10 \)[/tex].
So,
[tex]\[
f(10) = 2(10) + 3 = 20 + 3 = 23
\][/tex]
Therefore, the value of [tex]\( f(g(3)) \)[/tex] is [tex]\( 23 \)[/tex].
The correct answer is [tex]\(\boxed{23}\)[/tex].
Given:
- [tex]\( f(x) = 2x + 3 \)[/tex]
- [tex]\( g(x) = x^2 + 1 \)[/tex]
We need to find [tex]\( f(g(3)) \)[/tex].
1. First, calculate [tex]\( g(3) \)[/tex].
[tex]\[
g(x) = x^2 + 1
\][/tex]
So,
[tex]\[
g(3) = 3^2 + 1 = 9 + 1 = 10
\][/tex]
2. Then, use the result from [tex]\( g(3) \)[/tex] to find [tex]\( f(g(3)) \)[/tex].
[tex]\[
f(x) = 2x + 3
\][/tex]
Here, we have [tex]\( x = g(3) = 10 \)[/tex].
So,
[tex]\[
f(10) = 2(10) + 3 = 20 + 3 = 23
\][/tex]
Therefore, the value of [tex]\( f(g(3)) \)[/tex] is [tex]\( 23 \)[/tex].
The correct answer is [tex]\(\boxed{23}\)[/tex].
Thanks for taking the time to read If tex f x 2x 3 tex and tex g x x 2 1 tex find tex tex f g 3 tex tex A 23. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
