What is the domain of f(x)=(x+8)/(5+x) ?

The domain of f(x)=(x+8)/(5+x) is x -5

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domain of f(x)=(x+8)/(5+x)

domain

f (x) = \frac{x + 8}{5 + x}

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

- 5 x + 4 y = 0

f (x) = \frac{10 x + 40}{x - 5}

f (x) = sin (\frac{x}{2})

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

y = sin (x)

What is the domain of f(x)=(x+8)/(5+x) ?
The domain of f(x)=(x+8)/(5+x) is x<-5\lor x>-5