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

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

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domain of f(x)=(x^2)/(x^2+x-90)

domain

f (x) = \frac{x ^{2}}{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) = \frac{6}{( x - 9 )}

f (x) = 8 sin (2 x)

\frac{e ^{x}}{3 + e ^{x}}

x - 1 1 - x

\frac{x + 4}{x ^{2} - 25}

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