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-3 -2 -1 1 -7 -5 -3 -1 f(x) 3 5 7 -1 g(x) 8 3 3 a. (f • g)(1) b. (f • g)(-1) c. (g •f)(-1)

-3 -2 -1 1 -7 -5 -3 -1 f(x) 3 5 7 -1 g(x) 8 3 3 a. (f • g)(1) b. (f • g)(-1) c. (g •f)(-1)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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In Problems 9, evaluate each expression using the values given in the table.

The text and table from the image for Problem 9 can be described as follows: **Instructions:** In Problems 9 and 10, evaluate each expression using the values given in the table. **Table:** - The table contains three rows: `x`, `f(x)`, and `g(x)`. - The values of `x` range from -3 to 3. - Corresponding values for `f(x)` are: -7, -5, -3, -1, 3, 5, 7. - Corresponding values for `g(x)` are: 8, 3, 0, -1, 0, 3, 8. **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. \( (f \circ f)(-1) \) **Explanation of Notation:** - \( (f \circ g)(x) \) represents the composition of functions where \( g(x) \) is substituted into \( f(x) \). - \( (g \circ f)(x) \) represents the composition of functions where \( f(x) \) is substituted into \( g(x) \). These expressions involve determining the function compositions based on the provided table values.
Transcribed Image Text:The text and table from the image for Problem 9 can be described as follows: **Instructions:** In Problems 9 and 10, evaluate each expression using the values given in the table. **Table:** - The table contains three rows: `x`, `f(x)`, and `g(x)`. - The values of `x` range from -3 to 3. - Corresponding values for `f(x)` are: -7, -5, -3, -1, 3, 5, 7. - Corresponding values for `g(x)` are: 8, 3, 0, -1, 0, 3, 8. **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. \( (f \circ f)(-1) \) **Explanation of Notation:** - \( (f \circ g)(x) \) represents the composition of functions where \( g(x) \) is substituted into \( f(x) \). - \( (g \circ f)(x) \) represents the composition of functions where \( f(x) \) is substituted into \( g(x) \). These expressions involve determining the function compositions based on the provided table values.
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