The function ( 1 x 2 ) is a one to one function on the interval ( 0 , ∞ Find a formula for the inverse function on that domain. Sketch the graph of both functions from 0 &lt; x &lt; 4How can we choose the right sign for inverse functions?

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The function       (          1              x        2              )   is a one to one function on the interval   (  0  ,  ∞ Find a formula for the inverse function on that domain. Sketch the graph of both functions from   0  &amp;lt;  x  &amp;lt;  4How can we choose the right sign for inverse functions?

poquetahr · Accepted Answer

When you want to find an inverse function, the inverse must exist, ie the function must be bijective.Now since it is bijective on   (  0  ,  ∞  ), the inverse exists. Notice that   x  &amp;gt;  0, so   x  =      1          y      .

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