SOLUTION: Please help me with this problem: Find the domain and write it on set builder notation. f(x) = {{{5/((4/x) - 1)}}}

Algebra ->  Finance -> SOLUTION: Please help me with this problem: Find the domain and write it on set builder notation. f(x) = {{{5/((4/x) - 1)}}}      Log On


   

Question 1047867: Please help me with this problem:
Find the domain and write it on set builder notation. f(x) = 5%2F%28%284%2Fx%29+-+1%29
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+5%2F%28%284%2Fx%29+-+1%29.....first simplify
f%28x%29+=+5%2F%284%2Fx+-+x%2Fx%29
f%28x%29+=+5%2F%28%284-+x%29%2Fx%29
f%28x%29+=+5x%2F%284-+x%29
since denominator 4-x cannot be zero and it will be if x=4 we need to exclude x=4
so, the domain is:
{ x element R : x%3C%3E4 }
or interval: (-infinity,4) U (4,infinity)