What is the domain of (x^4)/(x^2+x-90) ?

The domain of (x^4)/(x^2+x-90) is x 9

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domain of (x^4)/(x^2+x-90)

domain

\frac{x ^{4}}{x ^{2} + x - 90}

x < - 10 or - 10 < x < 9 or x > 9

Interval Notation

(- \infty, - 10) \cup (- 10, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = 9, x = - 10

The function domain

x < - 10 or - 10 < x < 9 or x > 9

f (x) = x^{3} + 3 x^{2} + x + 1

f (x) = 5 x + 15

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

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

lo g_{2} (2 x - 1) - lo g_{2} (x)

What is the domain of (x^4)/(x^2+x-90) ?
The domain of (x^4)/(x^2+x-90) is x<-10\lor-10<x<9\lor x>9