What is the domain of f(x)=(-2x)/((x+7)(6-x)) ?

The domain of f(x)=(-2x)/((x+7)(6-x)) is x 6

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domain of f(x)=(-2x)/((x+7)(6-x))

domain

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

x < - 7 or - 7 < x < 6 or x > 6

Interval Notation

(- \infty, - 7) \cup (- 7, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = - 7, x = 6

The function domain

x < - 7 or - 7 < x < 6 or x > 6

f (x) = x + (\frac{1}{x})

\frac{1}{4 - 9 x}

f (x) = \frac{15 - x}{x ^{2} + 2 x - 15}

g (x) = 4^{x} + 1

f (x) = - x^{3} + 1

What is the domain of f(x)=(-2x)/((x+7)(6-x)) ?
The domain of f(x)=(-2x)/((x+7)(6-x)) is x<-7\lor-7<x<6\lor x>6