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15-11-2018
Mathematics

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What is the inverse of the function? f(x)=3^x−1

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15-11-2018

[tex]y = f(x) = 3^{x} - 1[/tex]

let x be y and y be the x, so we have

[tex]x = 3^{y} - 1[/tex]

[tex]3^{y} = x + 1[/tex]

[tex]log_{3}(3)^{y} = log_3(x + 1)[/tex]

[tex]y = log_{3}(x+1)[/tex]

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