Find the requested value. 18) Using the given tables, find (fog) (2) x 9 5 1 3 f(x) 18 10 26 A) 6 x 425 3 g(x) 73 95 B) 10 C) 3 D) 2
Find the requested value. 18) Using the given tables, find (fog) (2) x 9 5 1 3 f(x) 18 10 26 A) 6 x 425 3 g(x) 73 95 B) 10 C) 3 D) 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Find the requested value.**
Using the given tables, find \( (f \circ g)(2) \).
\[
\begin{array}{c|cccc}
x & 9 & 5 & 1 & 3 \\
\hline
f(x) & 18 & 10 & 2 & 6 \\
\end{array}
\]
\[
\begin{array}{c|cccc}
x & 4 & 2 & 5 & 3 \\
\hline
g(x) & 7 & 3 & 9 & 5 \\
\end{array}
\]
A) 6
B) 10
C) 3
D) 2
**Explanation:**
To find \( (f \circ g)(2) \), first determine \( g(2) \) from the second table. Here, when \( x = 2 \), \( g(x) = 3 \).
Next, find \( f(g(2)) = f(3) \) using the first table. For \( x = 3 \), \( f(x) = 6 \).
Hence, \( (f \circ g)(2) = 6 \). The correct answer is A) 6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4339918c-b6fc-450e-92b7-d597aa3e9053%2Fec89cb9f-50f7-47c7-ae70-fbec83d65208%2Ftx449nnns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Find the requested value.**
Using the given tables, find \( (f \circ g)(2) \).
\[
\begin{array}{c|cccc}
x & 9 & 5 & 1 & 3 \\
\hline
f(x) & 18 & 10 & 2 & 6 \\
\end{array}
\]
\[
\begin{array}{c|cccc}
x & 4 & 2 & 5 & 3 \\
\hline
g(x) & 7 & 3 & 9 & 5 \\
\end{array}
\]
A) 6
B) 10
C) 3
D) 2
**Explanation:**
To find \( (f \circ g)(2) \), first determine \( g(2) \) from the second table. Here, when \( x = 2 \), \( g(x) = 3 \).
Next, find \( f(g(2)) = f(3) \) using the first table. For \( x = 3 \), \( f(x) = 6 \).
Hence, \( (f \circ g)(2) = 6 \). The correct answer is A) 6.
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Step 1: Given functions f and g
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