What is the domain of f(x)= t/(sqrt(t^2-1)) ?

The domain of f(x)= t/(sqrt(t^2-1)) is t 1

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domain of f(x)= t/(sqrt(t^2-1))

domain

f (x) = \frac{t}{t ^{2} - 1}

t < - 1 or t > 1

Interval Notation

(- \infty, - 1) \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

t \leq - 1 or t \geq 1

Find undefined (singularity) points:

t = 1, t = - 1

Combine real regions and undefined points for final function domain

t < - 1 or t > 1

f (x) = - x^{2} - 8 x

f (x) = \frac{( ( x - 1 ) ^{3} )}{x ^{2}}

f (x) = \frac{x - 6}{x - 7}

e^{3 x}

cot (2 x)

What is the domain of f(x)= t/(sqrt(t^2-1)) ?
The domain of f(x)= t/(sqrt(t^2-1)) is t<-1\lor t>1