What is the domain of f(x)=(x-7)/(2x+10) ?

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

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domain of f(x)=(x-7)/(2x+10)

domain

f (x) = \frac{x - 7}{2 x + 10}

x < - 5 or x > - 5

Interval Notation

(- \infty, - 5) \cup (- 5, \infty)

Solution steps

Find undefined (singularity) points:

x = - 5

The function domain

x < - 5 or x > - 5

g (x) = \frac{1}{x - 3} + 6

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

f (x) = \frac{x}{x ^{2} - 5 x - 14}

f (x) = \frac{1}{x ^{2} - 16}

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