Question

find domain of rational function in interval notation

g(t)=5t/(t^2-2t)=

Answer 1

take note that, its a rational function. So, there is a restriction that, the denominator cannot be equal to zero.

Answer 2

because if that happens it will be undefined. Hence, we equate the denominator to zero. then, solve for t. And exclude the values that we got from our domain.

Answer 3

right the bottom cant be zero so solve (t^2-2t) = 0 and you get t(t-2)= 0
so t cant be 0 or t cant be 2
so domainn = (-infinity, 0)U(0,2)U(2,infinity)
does this make sense?