The table contains some input-output pairs for the functions f and g. æ| f(x) | g(x) 2 2 9 6 9 3 9. 6. Evaluate the following expressions. a. f(g(6)) = Preview b. f-'(9) = Preview с. д (6) — Preview d. f-(g(5)) = Preview 3. 3.
The table contains some input-output pairs for the functions f and g. æ| f(x) | g(x) 2 2 9 6 9 3 9. 6. Evaluate the following expressions. a. f(g(6)) = Preview b. f-'(9) = Preview с. д (6) — Preview d. f-(g(5)) = Preview 3. 3.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![The table contains some input-output pairs for the functions \( f \) and \( g \).
\[
\begin{array}{|c|c|c|}
\hline
x & f(x) & g(x) \\
\hline
2 & 5 & 5 \\
3 & 3 & 2 \\
5 & 2 & 9 \\
6 & 9 & 3 \\
9 & 6 & 6 \\
\hline
\end{array}
\]
Evaluate the following expressions.
a. \( f(g(6)) = \) \(\_\_\_\_\_\_\_\_\_\_\)
b. \( f^{-1}(9) = \) \(\_\_\_\_\_\_\_\_\_\_\)
c. \( g^{-1}(6) = \) \(\_\_\_\_\_\_\_\_\_\_\)
d. \( f^{-1}(g(5)) = \) \(\_\_\_\_\_\_\_\_\_\_\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a7e6ad5-0eb5-476a-8034-bd3421cbec45%2F8cf8e081-ad64-468f-8b08-3e491a641b6a%2Fpicum8j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The table contains some input-output pairs for the functions \( f \) and \( g \).
\[
\begin{array}{|c|c|c|}
\hline
x & f(x) & g(x) \\
\hline
2 & 5 & 5 \\
3 & 3 & 2 \\
5 & 2 & 9 \\
6 & 9 & 3 \\
9 & 6 & 6 \\
\hline
\end{array}
\]
Evaluate the following expressions.
a. \( f(g(6)) = \) \(\_\_\_\_\_\_\_\_\_\_\)
b. \( f^{-1}(9) = \) \(\_\_\_\_\_\_\_\_\_\_\)
c. \( g^{-1}(6) = \) \(\_\_\_\_\_\_\_\_\_\_\)
d. \( f^{-1}(g(5)) = \) \(\_\_\_\_\_\_\_\_\_\_\)
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