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Função Inversa

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Resolvido Função Inversa

Mensagem por Alberto Nascente Sab 26 Nov 2022, 10:53

16. Se Função Inversa Svg+xml;base64,<?xml version='1.0' encoding='UTF-8'?>
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</svg>, onde -1 < x < 1

a) Encontre f-1(3).
b) Encontre f(f-1(5)).

S/ gabarito.


Ñ consegui desenvolver a parte do isolar "x" e dps trocar pra "y"
Obrigado! Very Happy


Última edição por Alberto Nascente em Qua 30 Nov 2022, 10:27, editado 1 vez(es)

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Resolvido Re: Função Inversa

Mensagem por tales amaral Seg 28 Nov 2022, 08:44

[latex]f^{-1}(3) = x \iff f(x )= 3[/latex]
Resolvendo para x:

    [latex]3 = 3+x+\tan\left(\frac{\pi x}{2} \right ) \iff -x = \tan\left(\frac{\pi x}{2} \right )[/latex]

Sim. Eu poderia aplicar arctan, mas não ajudaria muito.

Se [latex]0 < x < 1[/latex], temos -x negativo e  [latex]\tan\left(\frac{\pi x}{2} \right ) [/latex] positivo.

Se [latex]-1 < x < 0[/latex], temos -x positivo e  [latex]\tan\left(\frac{\pi x}{2} \right ) [/latex] negativo.

Se x =0, temos        [latex] -x = 0 [/latex] e [latex]\tan\left(\frac{\pi x}{2} \right ) = 0[/latex], portanto x = 0 é  solução e     [latex]f^{-1} (3) = 0[/latex].
Observe que se     [latex]-1 < x < 1 \iff -\dfrac{\pi}{2} < \dfrac{\pi x}{2} < \dfrac{\pi}{2}[/latex].




Função Inversa KweGOGnoPWsAAAAASUVORK5CYII=


b)

Para qualquer f,     [latex]f(f^{-1}(x)) = x[/latex], então     [latex]f(f^{-1}(5)) = 5[/latex]
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Resolvido Re: Função Inversa

Mensagem por Alberto Nascente Qua 30 Nov 2022, 10:27

Entendi.

Obrigado! Very Happy

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