What is the domain of f(x)=(t+2)/(t^2+5t+6) ?

The domain of f(x)=(t+2)/(t^2+5t+6) is t -2

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domain of f(x)=(t+2)/(t^2+5t+6)

domain

f (x) = \frac{t + 2}{t ^{2} + 5 t + 6}

t < - 3 or - 3 < t < - 2 or t > - 2

Interval Notation

(- \infty, - 3) \cup (- 3, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

t = - 2, t = - 3

The function domain

t < - 3 or - 3 < t < - 2 or t > - 2

f (x) = \frac{2 x}{x ^{2} + 4}

15 x - 6 y = 16

f (x) = - x^{3} + 3 x^{2} - 7

f (x) = x^{2} - 4 x + 7

y = 2 x - 5

What is the domain of f(x)=(t+2)/(t^2+5t+6) ?
The domain of f(x)=(t+2)/(t^2+5t+6) is t<-3\lor-3<t<-2\lor t>-2