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

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

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

domain

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

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

Solution steps

Find undefined (singularity) points:

x = 5, x = - 2

The function domain

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

9 x - y = 36

f (x) = \frac{2 x ^{2} - 3 x - 20}{x - 5}

(9, 2), (- 7, - 9)

f (x) = 2 sin (2 x - \frac{1}{2.5})

f (x) = 5 x e^{6 x}

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