What is the domain of f(x)= 1/x+3/(5x) ?

The domain of f(x)= 1/x+3/(5x) is x 0

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domain of f(x)= 1/x+3/(5x)

domain

f (x) = \frac{1}{x} + \frac{3}{5 x}

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 + 2}{x + 9}

f (x) = \frac{3 x - 2}{x}

f (x) = x + 1 - 1

y = arccos (\frac{1}{x - 3})

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

What is the domain of f(x)= 1/x+3/(5x) ?
The domain of f(x)= 1/x+3/(5x) is x<0\lor x>0