What is the domain of f(x)= 6/(x-5) ?

The domain of f(x)= 6/(x-5) is x 5

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domain of f(x)= 6/(x-5)

domain

f (x) = \frac{6}{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

l in e (3, 3), (4, 0)

d o main f (x) = 2 - - 4 - 3 x

r an g e arccos (x - 1) + \frac{π}{2}

e x t re m e f (x) = x^{4} - 8 x^{3} + 7

d o main f (x) = \frac{1}{1 + x}

What is the domain of f(x)= 6/(x-5) ?
The domain of f(x)= 6/(x-5) is x<5\lor x>5