{ localUrl: '../page/inverse_function.html', arbitalUrl: 'https://arbital.com/p/inverse_function', rawJsonUrl: '../raw/4sn.json', likeableId: '2845', likeableType: 'page', myLikeValue: '0', likeCount: '2', dislikeCount: '0', likeScore: '2', individualLikes: [ 'EricBruylant', 'EricRogstad' ], pageId: 'inverse_function', edit: '5', editSummary: '', prevEdit: '4', currentEdit: '5', wasPublished: 'true', type: 'wiki', title: 'Inverse function', clickbait: 'The inverse of a function returns an input of the original function when fed the original's corresponding output.', textLength: '658', alias: 'inverse_function', externalUrl: '', sortChildrenBy: 'likes', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'DylanHendrickson', editCreatedAt: '2016-07-07 17:47:27', pageCreatorId: 'MichaelCohen', pageCreatedAt: '2016-06-24 07:54:39', seeDomainId: '0', editDomainId: 'AlexeiAndreev', submitToDomainId: '0', isAutosave: 'false', isSnapshot: 'false', isLiveEdit: 'true', isMinorEdit: 'false', indirectTeacher: 'false', todoCount: '0', isEditorComment: 'false', isApprovedComment: 'true', isResolved: 'false', snapshotText: '', anchorContext: '', anchorText: '', anchorOffset: '0', mergedInto: '', isDeleted: 'false', viewCount: '75', text: 'If a function $g$ is the inverse of a function $f$, then $g$ undoes $f$, and $f$ undoes $g$. In other words, $g(f(x)) = x$ and $f(g(y)) = y$. An inverse function takes as its [3js domain] the [3lm range] of the original function, and the [3lm range] of the inverse function is the [3js domain] of the original. To put that another way, if $f$ maps $A$ onto $B$, then $g$ maps $B$ back onto $A$. To indicate the inverse of a function $f$, we write $f^{-1}$.\n\n## Examples ##\n\n$$y=f(x) = x^3\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ x=f^{-1}(y) = y^{1/3}$$\n$$y=f(x) = e^x\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ x=f^{-1}(y) = ln(y)$$\n$$y=f(x) = x+4\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ x=f^{-1}(y) = y-4$$', metaText: '', isTextLoaded: 'true', isSubscribedToDiscussion: 'false', isSubscribedToUser: 'false', isSubscribedAsMaintainer: 'false', discussionSubscriberCount: '3', maintainerCount: '3', userSubscriberCount: '0', lastVisit: '', hasDraft: 'false', votes: [], voteSummary: 'null', muVoteSummary: '0', voteScaling: '0', currentUserVote: '-2', voteCount: '0', lockedVoteType: '', maxEditEver: '0', redLinkCount: '0', lockedBy: '', lockedUntil: '', nextPageId: '', prevPageId: '', usedAsMastery: 'false', proposalEditNum: '0', permissions: { edit: { has: 'false', reason: 'You don't have domain permission to edit this page' }, proposeEdit: { has: 'true', reason: '' }, delete: { has: 'false', 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