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oksano4ka [1.4K]
3 years ago
13

51

Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0

Answer:

let inverse f(x) be m:

m =  \frac{1}{2x  + 1}  \\ 2x + 1 =  \frac{1}{m}  \\ 2x =  \frac{1 - m}{m}  \\ x =  \frac{1 - m}{2m}

substitute x in place of m:

{ \bf{ {f}^{ - 1}(x) =  \frac{1 - x}{2x }  }}

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