What is the domain of f(x)=(2-x)/(x+5) ?

The domain of f(x)=(2-x)/(x+5) is x -5

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domain of f(x)=(2-x)/(x+5)

domain

f (x) = \frac{2 - x}{x + 5}

x < - 5 or x > - 5

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 5

The function domain

x < - 5 or x > - 5

f (x) = sin (x) + cos (x)

f (x) = \frac{x + 8}{x - 4}

f (x) = \frac{2 x ^{2} + 4 x}{x ^{3} - 8}

y = \frac{x ^{2} - 5 x - 6}{x - 6}

(4, - 9), (- 5, 3)

What is the domain of f(x)=(2-x)/(x+5) ?
The domain of f(x)=(2-x)/(x+5) is x<-5\lor x>-5