SOLUTION: Find all values of x that are NOT in the domain of g If there is more than one value, separate them with commas. g(x)= x+7/x^2-13x+40 Thank you

Algebra ->  College  -> Linear Algebra -> SOLUTION: Find all values of x that are NOT in the domain of g If there is more than one value, separate them with commas. g(x)= x+7/x^2-13x+40 Thank you       Log On


   

Question 1084402: Find all values of x that are NOT in the domain of g
If there is more than one value, separate them with commas.
g(x)= x+7/x^2-13x+40

Thank you
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

g%28x%29=++%28x%2B7%29%2F%28x%5E2-13x%2B40+%29 ........all values of x that are NOT in the domain of g are values that make denominator equal to zero
so, find x values that make denominator x%5E2-13x%2B40=0+
x%5E2-5x-8x%2B40=0+
%28x%5E2-5x%29-%288x-40%29=0+
x%28x-5%29-8%28x-5%29=0+
%28x-8%29%28x-5%29=0+
if %28x-8%29=0+->x=8
if %28x-5%29=0+->x=5
both values of x that are NOT in the domain of g
domain:{ x element R : x%3C%3E5 and x%3C%3E8 }