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calraezaj2020
14.03.2022 •
Mathematics
What is the domain and range of f(x) = ± √x^2?
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Ответ:
Domain: All real Numbers or (infinity, Infinity)
Range: All real Numbers or (infinity, Infinity)
Step-by-step explanation:
I am assuming the equation is F(x) =![\sqrt{x} ^2](/tpl/images/2695/0714/a84bc.png)
Ответ:
we have three similar triangles, because each has a right angle and shares an angle. let's write the angles in order: opposite to short leg, long leg, hypotenuse.
cab similar to bad similar to cbd
or as ratios,
ca: ab: cb = ba: ad: bd = cb: bd: cd
we also know
ac = ad + cd
(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd
(ad+cd)/cb=cb/cd
we have cb=6, ad=5 and seek x=cd.
we reject the negative root and conclude x=4
answer: 4