This question is from the parametric equations chapter of my calc book.(adsbygoogle = window.adsbygoogle || []).push({});

I am given x =[itex]\frac{1}{\sqrt{t+1}}[/itex]

and y = [itex]\frac{t}{t+1}[/itex], for (x> -1)

Solving the x(t) for t, we get [itex]\frac{1- x^{2}}{x^{2}}[/itex]

Eliminating the parameters by substitution, we get y = [itex]1 - x^{2}[/itex] for (x > 0)

My question is, what process is used to determine the change in domain?

(Please see attached photo to see the exact content my question has stemmed from)

Regards

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# Change in domain as variable changes in Parametric Equations.

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