What is the domain of (t-5)/(t^2+2t-15) ?

The domain of (t-5)/(t^2+2t-15) is t 3

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domain of (t-5)/(t^2+2t-15)

domain

\frac{t - 5}{t ^{2} + 2 t - 15}

t < - 5 or - 5 < t < 3 or t > 3

Interval Notation

(- \infty, - 5) \cup (- 5, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

t = 3, t = - 5

The function domain

t < - 5 or - 5 < t < 3 or t > 3

f (x) = 2 x + 5, 0 \leq x \leq 2

- 2 x^{2} + 2 x

y = \frac{( x ^{3} - x ^{2} + x )}{x}

\frac{x + 2}{x ^{2} - 3 x - 28}

\frac{( x + 1 ) ^{- 1}}{x - 2}

What is the domain of (t-5)/(t^2+2t-15) ?
The domain of (t-5)/(t^2+2t-15) is t<-5\lor-5<t<3\lor t>3