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

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

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

domain

f (x) = \frac{1}{( 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{x}{x ^{3} - 64}

- 6 x^{2} + 30 x - 36

x^{3} - x

f (x) = lo g_{2} (x + 4)

f (x) = 36 - x^{2}

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