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)}}}

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(t)=(4cross(t^4)cross((t-9)^6)*(t-8)^6*(t+3)^cross(6)^3)/(t^cross(6)^2*cross((t-9)^6)*cross((t+3)^3)*(t+1)^3)}}}

{{{f(t) = (4 (t - 8)^6 (t + 3)^3)/(t^2 (t + 1)^3)}}} 

domain:

{ {{{t}}} element {{{R}}} : {{{t<>0}}} ,{{{t<>-1}}} , {{{t<>-3}}}, and {{{t<>9}}} }