What is the domain of f(x)=(x+4)/(x^2+3x-10) ?

The domain of f(x)=(x+4)/(x^2+3x-10) is x 2

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domain of f(x)=(x+4)/(x^2+3x-10)

domain

f (x) = \frac{x + 4}{x ^{2} + 3 x - 10}

x < - 5 or - 5 < x < 2 or x > 2

Interval Notation

(- \infty, - 5) \cup (- 5, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 5

The function domain

x < - 5 or - 5 < x < 2 or x > 2

f (x) = - 3 x + 5, - 2 < x < 3

x^{2} + 2 x + 5

x^{2} - 6 x + 3

x^{2} - 6 x + 4

y = \frac{e ^{x}}{x ^{2} - 3 x + 2}

What is the domain of f(x)=(x+4)/(x^2+3x-10) ?
The domain of f(x)=(x+4)/(x^2+3x-10) is x<-5\lor-5<x<2\lor x>2