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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
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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**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.
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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