What is the domain of (x-4)/(x+1) ?

The domain of (x-4)/(x+1) is x -1

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domain of (x-4)/(x+1)

domain

\frac{x - 4}{x + 1}

x < - 1 or x > - 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 1

The function domain

x < - 1 or x > - 1

+ \frac{4 x - 11}{x - 9}

f (x) = x^{2} - 20

ln (\frac{1}{9 - ( x + 2 ) ^{2}})

f (x) = \frac{3}{x - 6}

y = \frac{2 x ^{2} - 5 x + 3}{4 x - 10}