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

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

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

domain

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

x < 0 or 0 < x < 3 or x > 3

Interval Notation

(- \infty, 0) \cup (0, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = 3

The function domain

x < 0 or 0 < x < 3 or x > 3

\frac{1}{ln ( ( x - 1 ) ^{2} ) - 1}

f (x) = \frac{4}{x + 1} + 5

f (x) = 8 x^{2} - x^{4}

f (x) = 72 - x^{2} + x

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