Consider math xmlns=http://www.w3.org/1998/Math/MathMLmif/mimo:/momo /momsubmi mathvar...
Consider math xmlns=http://www.w3.org/1998/Math/MathMLmif/mimo:/momo /momsubmi mathvariant=boldR/mimo mathvariant=bold+/mo/msubmo→/momo[/momn4/mnmo,/momo /momo∞/momo)/mo/math given by math xmlns=http://www.w3.org/1998/Math/MathMLmif/mimo(/momix/mimo)/momo=/momsupmix/mimn2/mn/msupmo+/momn4/mn/math. Show that math xmlns=http://www.w3.org/1998/Math/MathMLmif/mi/math is invertible with the inverse math xmlns=http://www.w3.org/1998/Math/MathMLmsupmif/mimrowmo-/momn1/mn/mrow/msup/math of math xmlns=http://www.w3.org/1998/Math/MathMLmif/mi/math given by math xmlns=http://www.w3.org/1998/Math/MathMLmsupmif/mimrowmo-/momn1/mn/mrow/msupmo(/momiy/mimo)/momo=/momsqrtmiy/mimo-/momn4/mn/msqrt/math, where math xmlns=http://www.w3.org/1998/Math/MathMLmsubmi mathvariant=boldR/mimo mathvariant=bold+/mo/msub/math is the set of all non-negative real numbers.
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