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多项填空题
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 1−1 Part 2b. (fcircle◦g)(negative 1−1)equals=[input]negative 1−1 Part 3c. (gcircle◦f)(negative 1−1)equals=[input]enter your response here
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The problem asks you to evaluate several circle-composed expressions using two tables that define f(x) and g(x) for x in the set {-3, -2, -1, 0, 1, 2, 3}. The questions are written as combinations like (f ∘ g)(11), (f ∘ g)(−1−1), and (g ∘ f)(−1−1). In this context, you first need to interpret what the inner function is doing to the given input, and then apply the outer function to the result of the inner function. Note: the original prompt presents some notation that is a bit unclear (for example, inputs like 11 or −1−1). I will demonstrate a clean approach you would use once the inner argument is resolved to a value that lies in the domain of the corresponding table, and I will align the reasoning with the provided answers where possible.
Option a: (f ∘ g)(11) = f(g(11)). To proceed, you must determine g at the input 11. Since 11 is not listed in the x-values of the g table, a typical interpretation in problems of this type is to map the inn......Login to view full explanation登录即可查看完整答案
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