What is the domain of f(x)=(x+3)/(x-6) ?

The domain of f(x)=(x+3)/(x-6) is x 6

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domain of f(x)=(x+3)/(x-6)

domain

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

(1, - 4), (- 2, 6)

y = x - 6

y = x^{2} - 100

f (x) = ln (x) + ln (5 - x)

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

What is the domain of f(x)=(x+3)/(x-6) ?
The domain of f(x)=(x+3)/(x-6) is x<6\lor x>6