If g(x)= 𝑥𝑥+1x+1x​ then the inverse function g - 1(x) =A.𝑥+1𝑥xx+1​ B.xC.𝑥1−𝑥1−xx​ D.𝑥−1𝑥xx−1​ E.𝑥𝑥+1x+1x​ SUBMITarrow_backPREVIOUS

Question

If g(x)= 𝑥𝑥+1x+1x​ then the inverse function g - 1(x) =A.𝑥+1𝑥xx+1​ B.xC.𝑥1−𝑥1−xx​ D.𝑥−1𝑥xx−1​ E.𝑥𝑥+1x+1x​ SUBMITarrow_backPREVIOUS
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Solution 1

Para encontrar la función inversa ( g^{-1}(x) ) de ( g(x) = \frac{x}{x+1} ), sigamos estos pasos:

  1. Empezamos con la ecuación ( y = \frac{x}{x+1} ).
  2. Intercambiamos ( x ) y ( y ) para encontrar la inversa: ( x = \frac{y}{y+1} ).
  3. Resolvemos para ( y ): [ x(y + 1) = y \impl Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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If g(x)= 𝑥𝑥+1x+1x​ then the inverse function g - 1(x) =A.𝑥+1𝑥xx+1​ B.xC.𝑥1−𝑥1−xx​ D.𝑥−1𝑥xx−1​ E.𝑥𝑥+1x+1x​ SUBMITarrow_backPREVIOUS

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