What is the domain of f(x)=(7x-14)/(5x+10) ?

The domain of f(x)=(7x-14)/(5x+10) is x -2

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domain of f(x)=(7x-14)/(5x+10)

domain

f (x) = \frac{7 x - 14}{5 x + 10}

x < - 2 or x > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

(- 8, 6), (- 6, 0)

f (x) = x^{2} - 4 x + 3

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

\frac{5 x + 10}{- 2 x ^{2} - 6 x - 4}

f (x) = \frac{24}{x ^{2} + 12}

What is the domain of f(x)=(7x-14)/(5x+10) ?
The domain of f(x)=(7x-14)/(5x+10) is x<-2\lor x>-2