What is the domain of f(x)=((x-7)(x+6))/((x+6)(x-8)) ?

The domain of f(x)=((x-7)(x+6))/((x+6)(x-8)) is x 8

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domain of f(x)=((x-7)(x+6))/((x+6)(x-8))

domain

f (x) = \frac{( x - 7 ) ( x + 6 )}{( x + 6 ) ( x - 8 )}

x < - 6 or - 6 < x < 8 or x > 8

Interval Notation

(- \infty, - 6) \cup (- 6, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = - 6, x = 8

The function domain

x < - 6 or - 6 < x < 8 or x > 8

2 x^{2} + 4 x - 3

\frac{4}{x - 6}

\frac{5 e ^{x}}{e ^{x} - 4}

f (x) = \frac{- 6 x + 5}{7 x + 2}

f (x) = sin (x) + cos (x)

What is the domain of f(x)=((x-7)(x+6))/((x+6)(x-8)) ?
The domain of f(x)=((x-7)(x+6))/((x+6)(x-8)) is x<-6\lor-6<x<8\lor x>8