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

The domain of f(x)=(t-2)/(2t+6) is t -3

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

domain

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

t < - 3 or t > - 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

t = - 3

The function domain

t < - 3 or t > - 3

4 sin (π x)

4 - 12 x^{2}

f (x) = ln (x - 5) + 2

2 + cos (x)

\frac{7}{3} x

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