For what value of x is the rational expression below defined?

2(x)+4/x-7 ?

7
2
-7
-2

Question

For what value of x is the rational expression below defined?

2(x)+4/x-7   ?

7
2
-7
-2

anonymous · Answer

@JackJordan

anonymous · Answer

@hartnn

hartnn · Answer

defined?
or not defined ?

hartnn · Answer

because there is only one value where that fraction is undefined
and it will be defined for all other values of x

anonymous · Answer

undefined. sorry AGAIN!! haha XD

hartnn · Answer

so it'll be undefined when the denominator equals 0 ! :)

hartnn · Answer

when is x-7 =0 ??
for what value of x ?

anonymous · Answer

so just 7. haha

hartnn · Answer

excellent! 
$\huge \checkmark $

anonymous · Answer

but what does undefined mean and how does that make a role in the question

hartnn · Answer

what is the value of say 1/0 ?? 
or can any number be divided by 0 ?

hartnn · Answer

we haven't defined what we get as a result of 'division by 0'.
hence in any expression,
when we get a denominator as = 0 , we say its undefined..

in your question the denominator was x-7

anonymous · Answer

OH. hahah got it;)

anonymous · Answer

Darn it I missed the question... as for undefined numbers.... the reason division by zero is undefined is because you can fit an arbitrary number of 0s into a number. Infinite if you like, and still not get close to it. So dividing by zero outputs a set... which is another kind of construct all together... :O