What is the domain of #f(t)=10/(t²-2t-3)#?

1 Answer
Sep 28, 2015

Answer:

The domain is all the real numbers except -1 and 3.

Explanation:

#f(t)=10/(t^2-2t-3)=># factor the denominator:
#f(t)=10/[(t+1)(t-3)]=>#
The domain of a function is all the points where the function is defined, since we can't divide by zero the roots of the denominator are not in the domain, then:
#(t+1)(t-3)=0#
#t=-1,3#
Hence the domain is all the real numbers except -1 and 3.
#(-oo,-1)uuu(-1,3)uuu(3,oo)#