What is the domain of f(x)= 5/(x^2+3x-10) ?

The domain of f(x)= 5/(x^2+3x-10) is x 2

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domain of f(x)= 5/(x^2+3x-10)

domain

f (x) = \frac{5}{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 + \frac{6}{x} - \frac{1}{x ^{3}}

f (x) = 4 x - 6, x \neq = 1

3 - e^{x}

\frac{4 x - 1}{5}

sin^{2} (x)

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