What is the domain of f(x)=(5x-10)/(x^2+5x-14) ?

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

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domain of f(x)=(5x-10)/(x^2+5x-14)

domain

f (x) = \frac{5 x - 10}{x ^{2} + 5 x - 14}

x < - 7 or - 7 < x < 2 or x > 2

Interval Notation

(- \infty, - 7) \cup (- 7, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 7

The function domain

x < - 7 or - 7 < x < 2 or x > 2

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

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

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

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

x^{2} + 7, x \geq - 5

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