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

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

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

domain

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

y = 2^{x} y = x^{3 - 3 x}

f (x) = 3 - 2^{x}

g (x) = \frac{1}{x ^{2} - 9}

f (x) = (x - 16)^{2}, [16, \infty]

x^{2} + 8 x + 3

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