What is the domain of f(x)=(7x-21)/((x-7)(x+1)) ?

The domain of f(x)=(7x-21)/((x-7)(x+1)) is x 7

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domain of f(x)=(7x-21)/((x-7)(x+1))

domain

f (x) = \frac{7 x - 21}{( x - 7 ) ( x + 1 )}

x < - 1 or - 1 < x < 7 or x > 7

Interval Notation

(- \infty, - 1) \cup (- 1, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 1

The function domain

x < - 1 or - 1 < x < 7 or x > 7

f (x) = \frac{- 1}{x + 3}

f (x) = - x^{2} - 4 x + 4

f (x) = \frac{x ^{2}}{x ^{2} - 25}

f (x) = \frac{10 - x}{2 x}

f (x) = - 3 + \frac{1}{2}

What is the domain of f(x)=(7x-21)/((x-7)(x+1)) ?
The domain of f(x)=(7x-21)/((x-7)(x+1)) is x<-1\lor-1<x<7\lor x>7