Domain of a function?

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

1 Answer
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]