What is the domain of f(x)= t/(sqrt(t^2-64)) ?

The domain of f(x)= t/(sqrt(t^2-64)) is t 8

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domain of f(x)= t/(sqrt(t^2-64))

domain

t < - 8 or t > 8

Interval Notation

(- \infty, - 8) \cup (8, \infty)

Solution steps

Find non-negative values for radicals:

t \leq - 8 or t \geq 8

Find undefined (singularity) points:

t = 8, t = - 8

Combine real regions and undefined points for final function domain

t < - 8 or t > 8

What is the domain of f(x)= t/(sqrt(t^2-64)) ?
The domain of f(x)= t/(sqrt(t^2-64)) is t<-8\lor t>8