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i have (x-5)^2=((x-5)^2)1/2=(x-5) then i do [5, infinity) but the answer is wrong

Use multinomial theorem.

simplified form is x-5

u need domain ?

i have x-5 and for my domain answer i put...

|dw:1389459862624:dw|

or should it be...

why ??
why can x not be less than 5 ?

|dw:1389459912753:dw|

whats the domain of x-5 ?

what if x= 3
is that allowed value ?

note that x-5 does not place any restrictions on x

The simplified form is |x - 5|.

so 5

No, (-infty,infty)

yes everything like -infinity to positive infinity

Yup.

oh see i had the left with a bracket so that was wrong

thanks

Do you need the range as well?

after i had messed it up i just started guessing

let me see..

yeah i think so

OK, so the simplification is |x - 5|. Do you know what the range of any absolute value function is?

the range would be [5, positive ) right?

nopes,
the range of |x| is x>=0