What is the domain of f(x)=(x+7)/(x^2-3x-70) ?

The domain of f(x)=(x+7)/(x^2-3x-70) is x 10

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domain of f(x)=(x+7)/(x^2-3x-70)

domain

f (x) = \frac{x + 7}{x ^{2} - 3 x - 70}

x < - 7 or - 7 < x < 10 or x > 10

Interval Notation

(- \infty, - 7) \cup (- 7, 10) \cup (10, \infty)

Solution steps

Find undefined (singularity) points:

x = 10, x = - 7

The function domain

x < - 7 or - 7 < x < 10 or x > 10

f (x) = (x + 2) (x + 1) (x - 3)

csc (\frac{x}{3}) - 2

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

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

y = - \frac{1}{2} x^{2} + 7

What is the domain of f(x)=(x+7)/(x^2-3x-70) ?
The domain of f(x)=(x+7)/(x^2-3x-70) is x<-7\lor-7<x<10\lor x>10