SOLUTION: If f(x)=x^(3)+10x^(2) & g(x)=9x^(2)-10 f/g is undefined at two points A&B where A<B What is A? What is B? This combination of functions problem has me stuck plz help.

Algebra ->  Functions -> SOLUTION: If f(x)=x^(3)+10x^(2) & g(x)=9x^(2)-10 f/g is undefined at two points A&B where A<B What is A? What is B? This combination of functions problem has me stuck plz help.       Log On


   

Question 435937: If f(x)=x^(3)+10x^(2) & g(x)=9x^(2)-10
f/g is undefined at two points A&B where A What is A? What is B?
This combination of functions problem has me stuck plz help.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
If f%28x%29=x%5E3%2B10x%5E2 and g%28x%29=9x%5E2-10, then
f%28x%29%2Fg%28x%29=%28x%5E3%2B10x%5E2%29%2F%289x%5E2-10%29, this rational function is undefined for
values of x that makes denominator zero. To find these values set denominator to
zero and solve the equation.
9x%5E2-10=0 => x%5E2=10%2F9 => x=+/-sqrt(10/9)=> x=+/-sqrt(10)/3.
Answer:The two undefined points are A(-sqrt(10)/3) and B(sqrt(10)/3).
The points are on the number line.