What is the domain of f(x)=(1-6t)/(5+t) ?

The domain of f(x)=(1-6t)/(5+t) is t -5

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domain of f(x)=(1-6t)/(5+t)

domain

f (x) = \frac{1 - 6 t}{5 + t}

t < - 5 or t > - 5

Interval Notation

(- \infty, - 5) \cup (- 5, \infty)

Solution steps

Find undefined (singularity) points:

t = - 5

The function domain

t < - 5 or t > - 5

(2, 8), (12, 2)

f (x) = \frac{3 x + 8}{x + 3}

5 x + 2 y = - 3

\frac{x - 5}{x + 2}

y = - 2 x + 1

What is the domain of f(x)=(1-6t)/(5+t) ?
The domain of f(x)=(1-6t)/(5+t) is t<-5\lor t>-5