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

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

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

domain

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

t < - 1 or - 1 < t < 1 or t > 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

t = 1, t = - 1

The function domain

t < - 1 or - 1 < t < 1 or t > 1

arcsin (2 x - 3)

f (x) = 3 arcsin (9 x - 54)

\frac{5}{3}

arcsin (\frac{x}{4})

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