anonymous
  • anonymous
For what value of x is the rational expression below defined? 2(x)+4/x-7 ? 7 2 -7 -2
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
hartnn
  • hartnn
defined? or not defined ?

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hartnn
  • hartnn
because there is only one value where that fraction is undefined and it will be defined for all other values of x
anonymous
  • anonymous
undefined. sorry AGAIN!! haha XD
hartnn
  • hartnn
so it'll be undefined when the denominator equals 0 ! :)
hartnn
  • hartnn
when is x-7 =0 ?? for what value of x ?
anonymous
  • anonymous
so just 7. haha
hartnn
  • hartnn
excellent! \(\huge \checkmark \)
anonymous
  • anonymous
but what does undefined mean and how does that make a role in the question
hartnn
  • hartnn
what is the value of say 1/0 ?? or can any number be divided by 0 ?
hartnn
  • hartnn
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
  • anonymous
OH. hahah got it;)
anonymous
  • anonymous
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

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