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

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

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

domain

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

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

f (x) = \frac{3 e ^{x}}{e ^{x} - 4}

f (x) = \frac{7 - 4 x}{8 + 3 x}

f (x) = 3 x^{3} + x

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

y = 3 x^{3}

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