How do you find the domain of $n(t)=(6t+5)/(3t+8)$ ?

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Answer 1 · 2018-06-07T19:25:45

$x inRR, x!=-8/3$

The only time $n(t)$ will be undefined is when our denominator is equal to zero, as we know that we cannot divide by zero.

Let's just set the denominator equal to zero. We have

$3t+8=0$

Subtracting $8$ from both sides, we get

$3t=-8$

Dividing both sides by $3$ , we get

$t=-8/3$

This is the only value that $n(t)$ is undefined, thus or domain is

$x inRR, x!=-8/3$

Hope this helps!

How do you find the domain of n(t)=(6t+5)/(3t+8)n(t)=(6t+5)/(3t+8)?