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.
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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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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