What is the domain of f(x)=(x^2-100)/(x-10) ?

The domain of f(x)=(x^2-100)/(x-10) is x 10

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domain of f(x)=(x^2-100)/(x-10)

domain

f (x) = \frac{x ^{2} - 100}{x - 10}

x < 10 or x > 10

Interval Notation

(- \infty, 10) \cup (10, \infty)

Solution steps

Find undefined (singularity) points:

x = 10

The function domain

x < 10 or x > 10

\frac{5 x - 3}{2 x + 1}

\frac{1}{3} x - 2

\frac{1}{x ^{2} - 2 x - 3}

\frac{1}{x - 5}

What is the domain of f(x)=(x^2-100)/(x-10) ?
The domain of f(x)=(x^2-100)/(x-10) is x<10\lor x>10