What is the domain of sqrt((t^2-4)/(t^2-25)) ?

The domain of sqrt((t^2-4)/(t^2-25)) is t 5

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domain of sqrt((t^2-4)/(t^2-25))

domain

t < - 5 or - 2 \leq t \leq 2 or t > 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

t < - 5 or - 2 \leq t \leq 2 or t > 5

Find undefined (singularity) points:

t = 5, t = - 5

Combine real regions and undefined points for final function domain

t < - 5 or - 2 \leq t \leq 2 or t > 5

What is the domain of sqrt((t^2-4)/(t^2-25)) ?
The domain of sqrt((t^2-4)/(t^2-25)) is t<-5\lor-2<= t<= 2\lor t>5