find the domain of the funcrion: r(t)=t-3/t+8

Question

This is for Math For College Readiness.

Answer 1

I take this to be r(t)=(t-3)/(t+8). The domain is the range of values of t for which the function can be evaluated. This function cannot be evaluated when the denominator is zero, that is, when t=-8. So the domain is all values of t except the single value t=-8. When t is slightly above or below this value r(t) is very large and positive (<-8) or very large and negative (>-8).

Answer 2

Given r(t)=(t-3)/(t+8)

The domain is the range in which the function given function can be evaluated.
here at t=-8 the function cannot be evaluated.

So the range t>-8 is the domain of the function

Domain And Range