Question

what is the domain of f(x) = (1-x)^1/2 + (x-2)^1/2

Answer 1

all permissable values of x

Answer 2

1-x >= 0

and

x-2 >= 0

Answer 3

determine the domain for each "part" and intersect them

Answer 4

how? if we put any negative or any positive or even zero then the function goes complex

Answer 5

ok

Answer 6

how is it possible?

Answer 7

1-x >= 0 ; 1 >= x

<-------------------------->
<--------------1

.......................................

x-2 >= 0

x >= 2

<--------------------------->
2------>

the parts dont intesect; so your domain is the null set

Answer 8

ok got it

Answer 9

just because a mathical looking equation can be constructed with notation doesnt gaurentee it has a sensible real solution

Answer 10

thanks

Answer 11

For example, we can say: My cat is a dog.

Its a proper sentence; but its meaningless as well