What is the domain of f(x)=(x-5)/(x+6) ?

The domain of f(x)=(x-5)/(x+6) is x -6

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domain of f(x)=(x-5)/(x+6)

domain

f (x) = \frac{x - 5}{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

y = \frac{1}{2} x - 5

y = - x + 2

f (x) = e^{(x + x^{2})}

f (x) = \frac{( 2 - x )}{( x + 5 )}

f (x) = 11 x^{4} cot (x)

What is the domain of f(x)=(x-5)/(x+6) ?
The domain of f(x)=(x-5)/(x+6) is x<-6\lor x>-6