Domain of a function?

which of the following intervals are contained in the domain of the function - #sqrt(2x - x^3)#

1 Answer
James
May 17, 2018

The Domain of a function

#(-oo,-sqrt2] and [0,sqrt2]#

Explanation:

show below

#y=sqrt(2x - x^3)#

let #2x-x^3>=0#

#2x-x^3=0#

#x(2-x^2)=0#

#x=0#

#2-x^2=0#

#x^2=2 rArr x=+-sqrt2#

The Domain of a function

#(-oo,-sqrt2] and [0,sqrt2]#

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