What is the domain of (t^2-t-20)/(t^2+7t+10) ?

The domain of (t^2-t-20)/(t^2+7t+10) is t -2

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domain of (t^2-t-20)/(t^2+7t+10)

domain

\frac{t ^{2} - t - 20}{t ^{2} + 7 t + 10}

t < - 5 or - 5 < t < - 2 or t > - 2

Interval Notation

(- \infty, - 5) \cup (- 5, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

t = - 2, t = - 5

The function domain

t < - 5 or - 5 < t < - 2 or t > - 2

\frac{r}{4}

f (x) = ln (5 x - 8)

f (x) = 1 - sec (x + \frac{π}{4})

- 2 x^{2} + 24 x

f (x) = \frac{( x + 3 )}{( x ^{2} + 8 x + 15 )}

What is the domain of (t^2-t-20)/(t^2+7t+10) ?
The domain of (t^2-t-20)/(t^2+7t+10) is t<-5\lor-5<t<-2\lor t>-2