SOLUTION: What is the domain of g(x)= x+7/x^2-8x+15?

Algebra ->  Test -> SOLUTION: What is the domain of g(x)= x+7/x^2-8x+15?      Log On


   

Question 941497: What is the domain of g(x)= x+7/x^2-8x+15?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29+=%28x%2B7%29%2F%28x%5E2-8x%2B15%29
denominator = x^2-8x+15
on factorizing the denominator
x%5E2-8x%2B15+=+x%5E2-3x-5x%2B15
=x%28x-3%29-5%28x-3%29
=%28x-3%29%28x-5%29
the above expression becomes 0 , when x= either 3 or 5
for the function to exist, denominator should not be 0
hence domain is all real number expect 3 & 5
Result : Domain = R-{3,5}
R= all near numbers set