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Part 1Evaluate each expression using the values given in the table.[table] x | minus−3 | minus−2 | minus−1 | 0 | 1 | 2 | 3 f(x) | minus−99 | minus−66 | minus−33 | minus−1 | 33 | 66 | 99 g(x) | 55 | 22 | 0 | minus−1 | 0 | 22 | 55 [/table][table] a. (fcircle◦g)(11) | b. (fcircle◦g)(negative 1−1) | c. (gcircle◦f)(negative 1−1) d. (gcircle◦f)(00) | e. (gcircle◦g)(negative 2−2) | f. (fcircle◦f)(negative 1−1) [/table] Part 1a. (fcircle◦g)(11)equals=[input]negative 1 −1Part 2b. (fcircle◦g)(negative 1−1)equals=[input]negative 1 −1Part 3c. (gcircle◦f)(negative 1−1)equals=[input]5 5Part 4d. (gcircle◦f)(00)equals=[input]enter your response here
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Step-by-Step Analysis
The problem asks us to evaluate several compositions of functions f and g using the provided tables for f(x) and g(x).
First, I will restate the mappings from the tables:
- f(x) is defined on x ∈ {−3, −2, −1, 0, 1, 2, 3} with f(−3)=−99, f(−2)=−66, f(−1)=−33, f(0)=−1, f(1)=33, f(2)=66, f(3)=99.
- g(x) is defined on x ∈ {−3, −2, −1, 0, 1......Login to view full explanationLog in for full answers
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