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Determine the domain of the function. S(x) = In (36 – x²) (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, u for combining intervals, and an appropriate type of parenthesis "(",")", "I"."]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) domain: Identify all correct statements about f and its domain. O The polynomial 36 – x² is continuous everywhere. O f is continuous for all real numbers. O In (x) is continuous for all x > 0, so f is continuous wherever 36 - x? > 0. O f is continuous on its domain. O fis continuous wherever 36 < x.

Determine the domain of the function. S(x) = In (36 – x²) (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, u for combining intervals, and an appropriate type of parenthesis "(",")", "I"."]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) domain: Identify all correct statements about f and its domain. O The polynomial 36 – x² is continuous everywhere. O f is continuous for all real numbers. O In (x) is continuous for all x > 0, so f is continuous wherever 36 - x? > 0. O f is continuous on its domain. O fis continuous wherever 36 < x.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 84E
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Determine the domain of the function. S(x) = In (36 – x²) (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, u for combining intervals, and an appropriate type of parenthesis "(",")", "I".")" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) domain: Identify all correct statements about f and its domain. O The polynomial 36 – x² is continuous everywhere. O f is continuous for all real numbers. O In (x) is continuous for all x > 0, so f is continuous wherever 36 - x? > 0. O f is continuous on its domain. O s is continuous wherever 36 < x.
Transcribed Image Text:Determine the domain of the function. S(x) = In (36 – x²) (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, u for combining intervals, and an appropriate type of parenthesis "(",")", "I".")" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) domain: Identify all correct statements about f and its domain. O The polynomial 36 – x² is continuous everywhere. O f is continuous for all real numbers. O In (x) is continuous for all x > 0, so f is continuous wherever 36 - x? > 0. O f is continuous on its domain. O s is continuous wherever 36 < x.
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