typicallldantee typicallldantee

26-01-2022
Mathematics

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3/x + 1. If x > 0, what is the inverse function of f(x)

3x 1 If x gt 0 what is the inverse function of fx class=

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surjithayer10otahza surjithayer10otahza

26-01-2022

Answer:

Step-by-step explanation:

let f(x)=y

[tex]y=\frac{3}{x} +1\\ flip~x~and~y\\ x=\frac{3}{y} +1\\ \frac{3}{y} =x-1\\ \frac{y}{3} =\frac{1}{x-1} \\ y=\frac{3}{x-1} \\ x\neq 1\\ f^{-1}(x)=\frac{3}{x-1} [/tex]

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