What is the domain of (2t^2-5)/(3t+6) ?

The domain of (2t^2-5)/(3t+6) is t -2

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domain of (2t^2-5)/(3t+6)

domain

\frac{2 t ^{2} - 5}{3 t + 6}

t < - 2 or t > - 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

t = - 2

The function domain

t < - 2 or t > - 2

f (x) = 2 x^{3} - 6 x^{2} - 18 x + 5

f (x) = x - 2 + 7

4 - x^{2}

f (x) = x^{\frac{1}{3}} (x + 4)

\frac{x - 4}{x ^{2} - 4 x}

What is the domain of (2t^2-5)/(3t+6) ?
The domain of (2t^2-5)/(3t+6) is t<-2\lor t>-2