SOLUTION: f(t)=(4t^4(t−9)^6(t−8)^6(t+3)^6)/(t^6(t−9)^6(t+3)^3(t+1)^3) I am trying to find the set notation where "t is a real number and ≠" along with the interval notation and hori

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: f(t)=(4t^4(t−9)^6(t−8)^6(t+3)^6)/(t^6(t−9)^6(t+3)^3(t+1)^3) I am trying to find the set notation where "t is a real number and ≠" along with the interval notation and hori      Log On


   



Question 1161130: f(t)=(4t^4(t−9)^6(t−8)^6(t+3)^6)/(t^6(t−9)^6(t+3)^3(t+1)^3)
I am trying to find the set notation where "t is a real number and ≠" along with the interval notation and horizontal asymptote. Thanks

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


since denominator cannot be equal to zero, exclude values of t that make it equal to zero
these values are: t=0, t=9,t=-3,t=-1

simplify:

f%28t%29+=+%284+%28t+-+8%29%5E6+%28t+%2B+3%29%5E3%29%2F%28t%5E2+%28t+%2B+1%29%5E3%29
domain:
{ t element R : t%3C%3E0 ,t%3C%3E-1 , t%3C%3E-3, and t%3C%3E9 }