Question

How to find the domain and range of a function??
For eg:- f(x) = $\frac{x}{x-6}$

Answer 1

domain is the set of all points in the real number set, which can be substituted for x.  in the expression for  f(x)....

range is the set of all points in the real number set, which can be the result of evaluation of f (x).., where x ∈ domain set.


  f (x) = x / (x - 6)

Here all the numbers from real number set R can be substituted on the RHS  except x = 6...    Domain = R - {6}
f(x) is not defined at x = 6.

Range  =  1 + 6 / (x - 6) 
   6 / (x - 6)  is never 0.

     Range is also  set of all possible real values except  1....
         Range = R - {1}