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

The domain of f(x)=((x+a))/x-a is x 0

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domain of f(x)=((x+a))/x-a

domain

f (x) = \frac{( x + a )}{x} - a

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = \frac{x + 5}{x + 1}

\frac{3 x - 7}{x + 9}

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

\frac{x}{8 x - 5}

3 x - 12

What is the domain of f(x)=((x+a))/x-a ?
The domain of f(x)=((x+a))/x-a is x<0\lor x>0