What is the domain of (7-x^2)/(x^2+2x-15) ?

The domain of (7-x^2)/(x^2+2x-15) is x 3

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domain of (7-x^2)/(x^2+2x-15)

domain

\frac{7 - 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) = \frac{15}{\frac{3}{x} - 1}

\frac{2 x}{3 x + 6}

f (x) = - 5 x + 4 - x - 2

lo g_{5} (5 - 2 x)

- x^{2} + 3 x

What is the domain of (7-x^2)/(x^2+2x-15) ?
The domain of (7-x^2)/(x^2+2x-15) is x<-5\lor-5<x<3\lor x>3