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

f (x) = \frac{12 x + 35}{x ( x + 7 )}

f (x) = \frac{7}{x ^{2} - 16}

f (x) = tan (x - \frac{π}{2}) + 1

\frac{1}{x + 5}

(3, 3), (4, 0)

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