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

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

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

domain

f (x) = \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

x - 3 + 1

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

f (x) = csc (4 x)

f (x) = \frac{x ^{2} + x - 6}{x ^{2} - 6 x + 8}

f (x) = \frac{- 2 x ^{2} + 14}{x ^{2} - 49}

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