What is the domain of f(x)=(x-4)/(x-5) ?

The domain of f(x)=(x-4)/(x-5) is x 5

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domain of f(x)=(x-4)/(x-5)

domain

f (x) = \frac{x - 4}{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{1}{4} x

f (x) = \frac{3 x - 5}{x ^{2} - 1}

f (x) = \frac{x - 3}{x ^{2} + 1}

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

\frac{1}{36 - x ^{2}}

What is the domain of f(x)=(x-4)/(x-5) ?
The domain of f(x)=(x-4)/(x-5) is x<5\lor x>5