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📰 A linguist studying the evolution of language is analyzing the frequency of certain phonetic shifts in historical texts. If the frequency of a phonetic shift in a text is modeled by \( f(x) = rac{2x + 3}{x - 1} \), find the value of \( x \) that maximizes \( f(x) \). 📰 To maximize the function \( f(x) = rac{2x + 3}{x - 1} \), we first find its derivative to locate critical points. Using the quotient rule: 📰 f'(x) = rac{(x - 1)(2) - (2x + 3)(1)}{(x - 1)^2} = rac{2x - 2 - 2x - 3}{(x - 1)^2} = rac{-5}{(x - 1)^2} 📰 Prove Youre An Oracle Java Expert Master Ocpjp And Boost Your Career Instantly 2606259 📰 Active Devices Are Crushing Us Silentlyheres How Global Usage Is Changing Everything 2322096 📰 City Center Houston 7354695 📰 Dare To Dine Where The Great Wall Meets The Most Decadent Feast 2525738 📰 Might And Magic Dark Messiah 2451462 📰 Delete Previous Windows Version Overnightrecover Your Os In Minutes 8675878 📰 Switcher Cast 2901010 📰 How To Remove Gel Varnish 3309174 📰 Autism Resources That Deliver Proven Tools For Success Peace Of Mind 7885830 📰 Learn From The Pros Fidelity Investments Education Secrets Everyone Wishes They Knew 5256807 📰 What Is The Bonjour App This Simple Tool Will Flood Your Feeds With Joy 8309064 📰 Roblox Stuio 6614420 📰 A Cylindrical Tank With A Radius Of 3 Meters And A Height Of 5 Meters Is Filled With Water How Many Liters Of Water Does It Hold 1 Cubic Meter 1000 Liters 1376946 📰 Arbor Apartments 4729499 📰 Cbs Nfl Playoffs 8417824