I am confused ! Please help me

Question

Find the restricted values of x for the following rational expression. If there are no restricted values of x, indicate "No Restrictions".
−x + 4 / 13

Answer 1

It's hard to tell from the equation you wrote if the expression is

 

(-x+4)/13  or  -x + (4/13)

 

Either way though the answer will be the same. If you have some expression such as 2/x  then it is a problem if x=0 because anything divided by 0 is an undefined quantity.

 

For example:

 

8/1=8

8/2=4

8/8=1 

8/0=undefined

 

Therefore, with rational expressions such as  (x+2)/(x-1) we do not want to allow the denominator to be 0. Thus, we say that x cannot be any value that would make the denominator 0.

 

If the expressions was (x+2)/(x-1) then we would say x cannot be 1 because then (x-1)=(1-1)=0 and (x-1) is the denominator.

 

In the expression you gave in the question, there is no x in the denominator. Thus, we don't have to restrict the values of x at all!