{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2024-10-04T08:19:00.932Z","dateModified":"2024-10-04T08:19:00.932Z","typicalAgeRange":"11-18","educationalLevel":"SRMJEEE","assesses":"Mathematics - Inverse of a Function","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Inverse of a Function"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"SRMJEEE"}],"name":"Quiz about Inverse of a Function","about":{"@type":"Thing","name":"Mathematics - Inverse of a Function"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Inverse of a Function","text":"The inverse of the function $$f(x) = \\frac{e^x - e^{-x}}{e^x + e^{-x}}+2$$ is given by}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\$log_e(\\frac{x-2}{x+2})^{\\frac{1}{2}}\$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

\$log_e(\\frac{x-1}{x+1})^{\\frac{1}{2}}\$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

\$log_e(\\frac{1-x}{x*3})^{\\frac{1}{2}}\$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

\$log_e(\\frac{x-1}{x+1})^{\\frac{1}{3}}\$

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

\$log_e(\\frac{1-x}{x*3})^{\\frac{1}{2}}\$

","comment":{"@type":"Comment","text":"\"\""},"answerExplanation":{"@type":"comment","text":"The correct option is (C): \$log_e(\\frac{1-x}{x*3})^{\\frac{1}{2}}\$"}}}]}

The inverse of the function \(f(x) = \frac{e^x - e^{-x}}{e^x + e^{-x}}+2\) is given by

The Correct Option is C

Solution and Explanation

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