Never seen such a domain

Algebra Level 4

Which of the following is a subset of the domain of x x x^{x} ?

( − 1 , 0 ) (-1,0) ( − 0.5 , 0.5 ) (-0.5,0.5) ( − 5 , − 4 ) (-5,-4) None of these ( − 0.01 , 0.01 ) (-0.01,0.01) [ 0 , 1 ] [0,1] ( − 0.5 , 1 ] (-0.5,1]

Prince Loomba by Prince Loomba , 21, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Prince Loomba
Nov 1, 2016

All positive real numbers are in domain, but for the negative real numbers, any set which includes a number of type p / q p/q , where p p is odd and q q is even is out of domain because square root of negative numbers is not real.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

But if x=-1 then x x x^x or − 1 − 1 -1^{-1} = − 1 -1 . So why isnt − v e -ve nos in domain this in domain?

Md Zuhair - 4 years, 7 months ago

Log in to reply

Actually I am asking range. Even I know it is true for particular numbers, which I have mentioned! All of the numbers in range must satisfy for it to be a subset of domain

Prince Loomba - 4 years, 7 months ago

Both 0 0 0^{0} , 1 1 1^{1} , and every real number between these values are defined. Why isn't [ 0 , 1 ] [0,1] A solution?

Levi Walker - 2 years, 7 months ago

Log in to reply

0 0 0^0 is not well-defined as shown here

Riccardo Baldini - 2 years, 7 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...