What is the domain of (x+10)/(x-5) ?

The domain of (x+10)/(x-5) is x 5

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domain of (x+10)/(x-5)

domain

\frac{x + 10}{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

6 x^{2} + 500 x + 8000

f (x) = arccos (e^{3 x})

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

f (x) = 6 t^{2} + 500 t + 8000

\frac{x + 7}{x ^{2} + 2 x}