What is the domain of f(x)=((x-6))/((x^2-5x-6)) ?

The domain of f(x)=((x-6))/((x^2-5x-6)) is x 6

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domain of f(x)=((x-6))/((x^2-5x-6))

domain

f (x) = \frac{( x - 6 )}{( x ^{2} - 5 x - 6 )}

x < - 1 or - 1 < x < 6 or x > 6

Interval Notation

(- \infty, - 1) \cup (- 1, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 1

The function domain

x < - 1 or - 1 < x < 6 or x > 6

f (x) = cot (x + \frac{π}{6})

f (x) = - 4 x + 5 + \frac{1}{5 x ^{2} + 2}

\frac{4}{( x - 7 ) ^{2}}

9 \cdot \frac{2}{3} + 5

f (t) = ln (2 t + 5)

What is the domain of f(x)=((x-6))/((x^2-5x-6)) ?
The domain of f(x)=((x-6))/((x^2-5x-6)) is x<-1\lor-1<x<6\lor x>6