What is the domain of f(x)=(3-x^2)/(x^2+2x-15) ?

The domain of f(x)=(3-x^2)/(x^2+2x-15) is x 3

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domain of f(x)=(3-x^2)/(x^2+2x-15)

domain

f (x) = \frac{3 - x ^{2}}{x ^{2} + 2 x - 15}

x < - 5 or - 5 < x < 3 or x > 3

Interval Notation

(- \infty, - 5) \cup (- 5, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 5

The function domain

x < - 5 or - 5 < x < 3 or x > 3

f (x) = 2^{x}

f (x) = - 5 x - 7

(1, - 2), (3, - 1)

f (x) = \frac{2 x ^{2} - 2 x - 1}{5 x ^{2}}

f (x) = \frac{x ^{2} - 6 x + 8}{x - 3}

What is the domain of f(x)=(3-x^2)/(x^2+2x-15) ?
The domain of f(x)=(3-x^2)/(x^2+2x-15) is x<-5\lor-5<x<3\lor x>3