sakigirl
Is h(x)=x^2 the inverse of g(x)=sqrt x ?



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sakigirl
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dw:1359610492592:dw

AravindG
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yep!

sakigirl
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Can you explain? :) @AravindG

AravindG
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put \[y=\sqrt{x}\]
then x=\(\sqrt{y}\)

AravindG
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hence \[\sqrt{x}\] is the inverse!

AravindG
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you can also try this:
check goh=x

sakigirl
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How is x=√y prove that x^2 is the inverse?

AravindG
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well if y is given in terms of x
x in terms of y is the inverse

sakigirl
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This may sound like a dumb question, but the y turns back into an x, making root y into a root x making it x^2?

AravindG
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yep that is because we always report a function in the form
y=something

sakigirl
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@AravindG Thanks!

AravindG
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yw :)