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

2 x - 3 y = 9

y = x^{2} + 2 x + 1

f (x) = - (x + 6)^{2} + 7

y = 2^{- x} + 1

f (x) = 2 sin (π x - 3 π) - 4