Evaluate each expression using the values given in the table. - 3 - 2 - 2 - 1 1 2 f(x) g(x) - 8 - 5 -1 8 - 1 2 b. (fo g)(- 1) a. (fo g)(1) d.(g o f)(0) c. (go f)(- 1) f. (fo f)( - 1) e. (g o g)(- 2) a. (fo g)(1)= 3o 5

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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**Evaluate Each Expression Using the Values Given in the Table**

The table below provides the values for two functions, \( f(x) \) and \( g(x) \), across a range of \( x \) values.

\[
\begin{array}{c|cccccc}
x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\
\hline
f(x) & -8 & -5 & -2 & -1 & 2 & 5 & 8 \\
g(x) & 5 & 2 & 0 & -1 & 0 & 2 & 5 \\
\end{array}
\]

**Expressions to Evaluate:**

a. \( (f \circ g)(1) \)  
b. \( (f \circ g)(-1) \)  
c. \( (g \circ f)(-1) \)  
d. \( (g \circ f)(0) \)  
e. \( (g \circ g)(-2) \)  
f. \( (f \circ f)(-1) \)  

**Example Solution:**

a. \( (f \circ g)(1) = \) [Place your answer here in the box below]  

\(\boxed{\phantom{answer}}\)
Transcribed Image Text:**Evaluate Each Expression Using the Values Given in the Table** The table below provides the values for two functions, \( f(x) \) and \( g(x) \), across a range of \( x \) values. \[ \begin{array}{c|cccccc} x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline f(x) & -8 & -5 & -2 & -1 & 2 & 5 & 8 \\ g(x) & 5 & 2 & 0 & -1 & 0 & 2 & 5 \\ \end{array} \] **Expressions to Evaluate:** a. \( (f \circ g)(1) \) b. \( (f \circ g)(-1) \) c. \( (g \circ f)(-1) \) d. \( (g \circ f)(0) \) e. \( (g \circ g)(-2) \) f. \( (f \circ f)(-1) \) **Example Solution:** a. \( (f \circ g)(1) = \) [Place your answer here in the box below] \(\boxed{\phantom{answer}}\)
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