What is the domain of f(x)=(x+2)/(x-6) ?

The domain of f(x)=(x+2)/(x-6) is x 6

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domain of f(x)=(x+2)/(x-6)

domain

f (x) = \frac{x + 2}{x - 6}

x < 6 or x > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6

The function domain

x < 6 or x > 6

f (x) = lo g_{10} (x + 2) - 1

lo g_{3} (x - 6)

- 4 - x^{2}

f (x) = lo g_{2} (x^{2} - 1)

\frac{5}{x - 1}

What is the domain of f(x)=(x+2)/(x-6) ?
The domain of f(x)=(x+2)/(x-6) is x<6\lor x>6