What is the domain of (3-x^2)/(x^2+4x-45) ?

The domain of (3-x^2)/(x^2+4x-45) is x 5

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domain of (3-x^2)/(x^2+4x-45)

domain

\frac{3 - x ^{2}}{x ^{2} + 4 x - 45}

x < - 9 or - 9 < x < 5 or x > 5

Interval Notation

(- \infty, - 9) \cup (- 9, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 9

The function domain

x < - 9 or - 9 < x < 5 or x > 5

f (x) = x^{2} - 10 x + 21

f (x) = x^{4} + 18 x^{2} + 81

f (X) = lo g_{3} (\frac{1}{9})

\frac{x ^{2} - 5 x + 4}{x + 1}

- x^{3} + 3 x^{2} + 10 x

What is the domain of (3-x^2)/(x^2+4x-45) ?
The domain of (3-x^2)/(x^2+4x-45) is x<-9\lor-9<x<5\lor x>5