What is the domain of f(x)=(x-3)/(x-5) ?

The domain of f(x)=(x-3)/(x-5) is x 5

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domain of f(x)=(x-3)/(x-5)

domain

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

\frac{8 x}{x ^{2} - 25}

y = \frac{x - 1}{9 x + 63}

\frac{x + 9}{x ^{2} - 18 x + 81}

lo g_{10} (8 - x)

x ln (2 x)

What is the domain of f(x)=(x-3)/(x-5) ?
The domain of f(x)=(x-3)/(x-5) is x<5\lor x>5