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

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

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

domain

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

t < - 1 or - 1 < t < 2 or t > 2

Interval Notation

(- \infty, - 1) \cup (- 1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

t = 2, t = - 1

The function domain

t < - 1 or - 1 < t < 2 or t > 2

f (x) = \frac{4}{4 - 2 x}

\frac{x}{x ^{2} + 2}

f (x) = x^{3} + 8 x^{2} + 15 x

- \frac{2}{x}

f (x) = 4 x^{3} - 3 x^{2} - 18 x + 17

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