What is the domain of f(x)=(x-6)/(x-7) ?

The domain of f(x)=(x-6)/(x-7) is x 7

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domain of f(x)=(x-6)/(x-7)

domain

f (x) = \frac{x - 6}{x - 7}

x < 7 or x > 7

Interval Notation

(- \infty, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7

The function domain

x < 7 or x > 7

e^{3 x}

cot (2 x)

f (x) = \frac{9}{3 - 10 x} - 3

f (x) = \frac{2 x + 5}{x - 3}

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

What is the domain of f(x)=(x-6)/(x-7) ?
The domain of f(x)=(x-6)/(x-7) is x<7\lor x>7