What is the domain of f(x)=(1-4t)/(2+t) ?

The domain of f(x)=(1-4t)/(2+t) is t -2

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domain of f(x)=(1-4t)/(2+t)

domain

f (x) = \frac{1 - 4 t}{2 + t}

t < - 2 or t > - 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

t = - 2

The function domain

t < - 2 or t > - 2

14

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

\frac{x + 2}{6 x ^{2} + x - 2}

ln (2 + ln (x))

2^{3 x - 5}

What is the domain of f(x)=(1-4t)/(2+t) ?
The domain of f(x)=(1-4t)/(2+t) is t<-2\lor t>-2