Let f and g have the values given in the table below. -2 0 1 2 f(x) 1 0 -2 2 | 1 g(x) -1 1 2 0 1. If f (2a) = 2, what is the value of a? Show work. 2. Find the value of x for which g (f (x)) = 2. Show your work or explain your method.

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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### Table of Values for Functions \( f \) and \( g \)

The table below provides values for the functions \( f(x) \) and \( g(x) \) at various points \( x \).

| \( x \) | \( f(x) \) | \( g(x) \) |
|---------|------------|------------|
| -2      | 1          | -1         |
| -1      | 0          | 1          |
| 0       | -2         | 2          |
| 1       | 2          | 0          |
| 2       | -1         | -2         |

### Questions

1. **If \( f(2a) = 2 \), what is the value of \( a \)? Show work.**

2. **Find the value of \( x \) for which \( g(f(x)) = 2 \). Show your work or explain your method.**
Transcribed Image Text:### Table of Values for Functions \( f \) and \( g \) The table below provides values for the functions \( f(x) \) and \( g(x) \) at various points \( x \). | \( x \) | \( f(x) \) | \( g(x) \) | |---------|------------|------------| | -2 | 1 | -1 | | -1 | 0 | 1 | | 0 | -2 | 2 | | 1 | 2 | 0 | | 2 | -1 | -2 | ### Questions 1. **If \( f(2a) = 2 \), what is the value of \( a \)? Show work.** 2. **Find the value of \( x \) for which \( g(f(x)) = 2 \). Show your work or explain your method.**
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