Domain and range for inverse function (1 Viewer)

[evilevoevil]

Need help to find the domain and range of this function

f(x) = xsin^-1(x^2)

thanks

 

[Sleight_of_Hand]

domain and range are the same

 

[tommykins]

domain and range are the same

....?

 

[hscishard]

I'm guessing
domain -1<= x<=1
Range -pi/2 y <= y <= pi/2

 

[fullonoob]

what hscishard said
look at the function arcsinx. (inverse of sinx)
since sinx has domain |x| <= pi/2 , range |y|<=1
its inverse must have domain |x| <=1 and range vice versa

 

[Sleight_of_Hand]

my bad. what they said. it looks like a x^3 curve