ninjastar9087 ninjastar9087

13-09-2021
Mathematics

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if f(x)=2x+1/x Find f^-1(x)

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Аноним Аноним

13-09-2021

Answer:

• Let f(x) be m

[tex]m = \frac{2x + 1}{x} \\ \\ mx = 2x + 1 \\ \\ mx - 2x = 1 \\ \\ x(m - 2) = 1 \\ \\ x = \frac{1}{m - 2} [/tex]

Therefore:

[tex]{ \boxed{ {f}^{ - 1} (x) = \frac{1}{x - 2} }} \\ [/tex]

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