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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 5, x = - 2

The function domain

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

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

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

f (x) = - (x - 4) (x + 2) (x - 1)

3 + x + 2

f (x) = 5 x - 2

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